Distance Between Two Points Problems

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#1 of 5: Medium

Distance Between Two Points

Find the distance between `(``-7,9)` and `(``-2,``-3)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -7, "y": 9, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": -2, "y": -3, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

#2 of 5: Medium

Distance Between Two Points

Find the distance between `(8,``-7)` and `(2,1)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": 8, "y": -7, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": 2, "y": 1, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

#3 of 5: Medium

Distance Between Two Points

Find the distance between `(0,``-2)` and `(8,``-8)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -2, "y": 0, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": 8, "y": -8, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

#4 of 5: Medium

Distance Between Two Points

Find the distance between `(``-7,4)` and `(``-4,0)`.<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -7, "y": 4, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": -4, "y": 0, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

#5 of 5: Spicy

Distance Between Two Points

Find the distance between `(``-6,``-7)` and `(``-1,0)`.<highlight data-color="#666" data-style="italic">Round your answer to the nearest tenth, if necessary. </highlight><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": -6, "y": -7, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true }, { "id": 1, "x": -1, "y": 0, "show_point": true, "point_size": 5, "highlight_point_color": "#000000", "x_coordinate_highlight": true, "y_coordinate_highlight": true } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": false, "dash": true, "line_width": 2, "dash_length": 5 } ]}'></LineGraph >

In this exercise, students will practice finding the distance between two points on a coordinate plane. They will be given the coordinates of two points and asked to use the distance formula to calculate the distance between them. This activity will help students develop their understanding of the Pythagorean theorem and how it can be used to find the distance between two points.

You can take help from our Introduction To Distance Between Two Points Lesson Plan perfect for empowering your math students!

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Grade 8

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