# Find The Distance Between Two Points (Real World Problems) Quiz

7 questions

### #1 of 7:Mild

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": 3, "y": -3, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "bank" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": -3, "y": 7, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "theater" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": 3, "y": -8, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "weight_lifter" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -7, "y": -3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 8, "y": 7, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "police_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -7, "y": 7, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "fire_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } ], "line_segments": [], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Theater", "icon": { "name": "theater" } }, { "label": "Bank", "icon": { "name": "bank" } }, { "label": "Gym", "icon": { "name": "weight_lifter" } }, { "label": "Library", "icon": { "name": "books" } }, { "label": "Police station", "icon": { "name": "police_station" } }, { "label": "Fire station", "icon": { "name": "fire_station" } } ] }}'></LineGraph ><p>You are currently at the bank, but you need to get to the gym.</p><ul><li>What are the coordinates for both the bank and the gym?</li><li>What is the distance between the bank and the gym?</li></ul> <p><highlight data-color="#666" data-style="italic">Each square represents `1` mile.</highlight> </p>

### #2 of 7:Medium

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": 3, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "bank" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": -7, "y": -7, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "theater" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": 3, "y": -7, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "weight_lifter" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -7, "y": -3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 9, "y": -7, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "police_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -7, "y": 2, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "fire_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 7, "x": 9, "y":2, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "museum" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 8, "x": -7, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "mailbox" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }], "line_segments": [], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Bank", "icon": { "name": "bank" } }, { "label": "Theater", "icon": { "name": "theater" } }, { "label": "Gym", "icon": { "name": "weight_lifter" } }, { "label": "Library", "icon": { "name": "books" } }, { "label": "Police station", "icon": { "name": "police_station" } }, { "label": "Fire station", "icon": { "name": "fire_station" } }, { "label": "Museum", "icon": { "name": "museum" } }, { "label": "Post office", "icon": { "name": "mailbox" } } ] }}'></LineGraph ><p>Ben are currently at the fire station, but he need to get to the museum.</p><ul><li>What are the coordinates for both fire station and the museum?</li><li>What is the distance between fire station and the museum?</li></ul> <p><highlight data-color="#666" data-style="italic">Each square represents `1` mile. </highlight> </p>

### #3 of 7:Medium

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 , "x_skip_interval": 2, "y_skip_interval": 2 }, "points": [ { "id": 1, "x": -8, "y": -8, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "airport" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": 8, "y": -8, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "train_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": -4, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "mailbox" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": 8, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "city_hall" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": -4, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "shopping_cart" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -8, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "hotel" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id":7, "x": 2, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 8, "x": 8, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "gas_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }], "line_segments": [], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Library", "icon": { "name": "books" } }, { "label": "Post office", "icon": { "name": "mailbox" } } , { "label": "City hall", "icon": { "name": "city_hall" } }, { "label": "Shopping mall", "icon": { "name": "shopping_cart" } }, { "label": "Hotel", "icon": { "name": "hotel" } }, { "label": "Train station", "icon": { "name": "train_station" } } , { "label": "Airport", "icon": { "name": "airport" } }, { "label": "Gas station", "icon": { "name": "gas_station" } } ] }}'></LineGraph ><p>You are currently at the gas station, but you need to get to the shopping mall.</p><ul><li>What are the coordinates for both the gas station and the shopping mall?</li><li>What is the distance between the gas station and the shopping mall?</li></ul> <p><highlight data-color="#666" data-style="italic">Each big square represents `2` miles.</highlight></p>

### #4 of 7:Medium

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 , "x_skip_interval": 2, "y_skip_interval": 2 }, "points": [ { "id": 1, "x":-8, "y": -8, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "airport" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": 8, "y": -8, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "train_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": -4, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "mailbox" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": 8, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "city_hall" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": -4, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "shopping_cart" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -8, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "hotel" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 7, "x": 2, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 8, "x": 6, "y": 6, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "gas_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }], "line_segments": [], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Library", "icon": { "name": "books" } }, { "label": "Post office", "icon": { "name": "mailbox" } } , { "label": "City hall", "icon": { "name": "city_hall" } }, { "label": "Shopping mall", "icon": { "name": "shopping_cart" } }, { "label": "Hotel", "icon": { "name": "hotel" } }, { "label": "Train station", "icon": { "name": "train_station" } } , { "label": "Airport", "icon": { "name": "airport" } }, { "label": "Gas station", "icon": { "name": "gas_station" } } ] }}'></LineGraph ><p>You are currently at the hotel, but you need to get to the airport.</p><ul><li>What are the coordinates for both the hotel and the airport?</li><li>What is the distance between the hotel and the airport?</li></ul><p><highlight data-color="#666" data-style="italic">Each big square represents `2` miles.</highlight> </p>

### #5 of 7:Medium

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 1, "x": -3, "y": 8, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "graduation_cap" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": 6, "y": 8, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "home" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": -3, "y": 0, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "bank" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 4, "x": -8, "y": -5, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 5, "x": 6, "y": -5, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "mailbox" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 6, "x": 6, "y": 0, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "kite" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 7, "x": 0, "y": -5, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "weight_lifter" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 8, "x": -8, "y": 2, "show_point": false, "highlight_point": false, "highlight_point_color": "#000", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "shopping_cart" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } ], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Playground", "icon": { "name": "kite" } }, { "label": "City Hall", "icon": { "name": "bank" } }, { "label": "Libray", "icon": { "name": "books" } }, { "label": "Post office", "icon": { "name": "mailbox" } }, { "label": "School", "icon": { "name": "graduation_cap" } }, { "label": "Gym", "icon": { "name": "weight_lifter" } }, { "label": "Home", "icon": { "name": "home" } }, { "label": "Market", "icon": { "name": "shopping_cart" } } ] }}'></LineGraph ><p>You are currently at the library, but you need to get to the post office.</p><ul><li>What are the coordinates for both the library and the post office?</li><li>What is the distance between the library and the post office?</li></ul> <p><highlight data-color="#666" data-style="italic">Each square represents `1` mile.</highlight></p>

### #6 of 7:Spicy

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5 , "x_skip_interval": 1, "y_skip_interval": 1 }, "points": [ { "id": 1, "x": -4.5, "y": 3.5, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "graduation_cap" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": 4, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "train_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": -4, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "mailbox" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": 4, "y": -2, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "city_hall" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": -2, "y": 3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "shopping_cart" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -4, "y": 3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "hotel" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 7, "x": -4.5, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 8, "x": 3, "y": 3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "gas_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }], "line_segments": [], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Library", "icon": { "name": "books" } }, { "label": "Post office", "icon": { "name": "mailbox" } } , { "label": "City hall", "icon": { "name": "city_hall" } }, { "label": "Shopping mall", "icon": { "name": "shopping_cart" } }, { "label": "Hotel", "icon": { "name": "hotel" } }, { "label": "Train station", "icon": { "name": "train_station" } } , { "label": "School", "icon": { "name": "graduation_cap" } }, { "label": "Gas station", "icon": { "name": "gas_station" } } ] }}'></LineGraph ><p>You are currently at the school, but you need to get to the library.</p><ul><li>What are the coordinates for both the school and the library?</li><li>What is the distance between the school and the library?</li></ul> <p><highlight data-color="#666" data-style="italic">Each big square represents `1` mile.</highlight></p>

### #7 of 7:Spicy

Find the distance between two points (real world problems)

<LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5 , "x_skip_interval": 1, "y_skip_interval": 1 }, "points": [ { "id": 1, "x": -4, "y": 4, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "graduation_cap" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 2, "x": 4, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "train_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 3, "x": -4, "y": -4, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "mailbox" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": 4, "y": -2, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "city_hall" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": -4.5, "y": 2.5, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "shopping_cart" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -4, "y": 3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "hotel" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 } , { "id": 7, "x": -4.5, "y": -2.5, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "books" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 8, "x": 3, "y": 3, "show_point": false, "highlight_point": false, "highlight_point_color": "#8000FF", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "legend_icon": { "icon": { "name": "gas_station" }, "highlight": true }, "x_color": "green", "y_color": "red", "x_intercept_width": 2, "y_intercept_width": 2 }], "line_segments": [], "legend_options": { "show_menu": true, "menu_position": "right", "menu_items": [ { "label": "Library", "icon": { "name": "books" } }, { "label": "Post office", "icon": { "name": "mailbox" } } , { "label": "City hall", "icon": { "name": "city_hall" } }, { "label": "Shopping mall", "icon": { "name": "shopping_cart" } }, { "label": "Hotel", "icon": { "name": "hotel" } }, { "label": "Train station", "icon": { "name": "train_station" } } , { "label": "School", "icon": { "name": "graduation_cap" } }, { "label": "Gas station", "icon": { "name": "gas_station" } } ] }}'></LineGraph ><p>You are currently at the shopping mall, but you need to get to the library.</p><ul><li>What are the coordinates for both the shopping mall and the library?</li><li>What is the distance between the shopping and the library?</li></ul> <p><highlight data-color="#666" data-style="italic">Each big square represents `1` mile. </highlight></p>

Finding the distance between two points quiz will help your students practice an important concept in mathematics, especially in geometry and trigonometry. It is a fundamental building block for understanding more complex mathematical concepts and solving real-world problems. For example, knowing the distance between two points is essential for determining the shortest route between them and estimating the time it will take to travel that route. Share this amazing find the distance between two points(real w...

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Grade 6
Negative Numbers
6.NS.C.6.A

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Carmel, CA
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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”