Types Of Slope Problems

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#1 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": -6, "y": -1.5, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": 6, "y": -1.5, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": -2, "y": 6, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": 3, "y": -6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -6, "y": -3.99, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 6, "y": 2, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -5.6, "y": -2.9, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": -2.2, "y": 5.6, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -5.6, "y": -1.6, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#2 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": -3.5, "y": 6, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": -3.5, "y": -6, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": -2, "y": 6, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": 3.24, "y": -6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -6, "y": -3.99, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 6, "y": 2, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -5.5, "y": -2.7, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": -2, "y": 5.6, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -3.6, "y": 5.6, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#3 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": -6, "y": 5.4, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": 6, "y": -3, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": 6, "y": -2.8, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": -6, "y": -2.8, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -3.2, "y": -6, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": -3.2, "y": 6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -3.3, "y": -5, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": -5.3, "y": -2.9, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -5.3, "y": 4.2, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#4 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": -6, "y": -4.2, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": 6, "y": 6, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": -1, "y": 6, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": 6, "y": -6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -3.2, "y": -6, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": -3.2, "y": 6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -3.3, "y": -5, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": -1, "y": 5.4, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -5, "y": -2.5, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#5 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": 6, "y": -2, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": -6, "y": -2, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": -1, "y": -6, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": -1, "y": 6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -6, "y": 4.8, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 6, "y": 0, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -5, "y": 3.9, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": -1.2, "y": 5.4, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -5, "y": -2, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#6 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": 3.6, "y": 6, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": -6, "y": -5.76, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": 6, "y": -1, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": -6, "y": -1, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -6, "y": 4.8, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 6, "y": -5.4, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -5, "y": 3.5, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": -5, "y": -1.3, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -5, "y": -3.5, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#7 of 8: Medium

Types of slope

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -6, "y_max": 6, "x_max": 6, "cell_size": 20, "x_interval": 1, "y_interval": 1, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 0, "x": 6, "y": 4.8, "show_point": false, "highlight_point": false, "show_coordinates": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 1, "x": -6, "y": -2.4, "highlight_point": false, "highlight_point_color": "#A3A3B3", "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 }, { "id": 2, "x": 1, "y": -6, "highlight_point": false, "highlight_point_color": "#377CF6", "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_coordinates": false, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 3, "x": 1, "y": 6, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 4, "x": -6, "y": 4.8, "highlight_point": false, "highlight_point_color": "#8000FF", "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 5, "x": 6, "y": -4.22, "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, "x_intercept_width": 2, "y_intercept_width": 2 }, { "id": 6, "x": -5, "y": 3.5, "show_point": false, "line_label": true, "label": "L₁", "highlight": true, "highlight_point_color": "#008000" }, { "id": 7, "x": 1.2, "y": 5.4, "show_point": false, "label": "L₂", "line_label": true, "highlight": true, "highlight_point_color": "#0377fc" }, { "id": 8, "x": -5, "y": -2.5, "show_point": false, "line_label": true, "label": "L₃", "highlight": true, "highlight_point_color": "#fc3003" } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#fc3003" }, { "first_point_id": 3, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#0377fc" }, { "first_point_id": 5, "second_point_id": 4, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "#008000" } ]}'></LineGraph >Determine the type of slope for each line in the graph.

#8 of 8: Medium

Types of slope

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Slopes can be classified into four categories on the basis of the change in any coordinate with respect to others. The four major types of slopes are, positive slope, negative slope, zero slope and undefined slope. Solving Types of slope Problems will help the students to enhance their knowledge of the steepness of various slopes and upgrade their planning strategies if any natural calamity occurs.

These problems can be used by teachers to polish student’s understanding about slopes. You can also try our Types Of Slope Worksheet and Types Of Slope Quiz as well for a better understanding of the concepts.