Find The Distance Between Two Points Practice Problems

<p>Point A is at (7, 1). Point B is at (-7, 1). Find the distance between the two points. </p> <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": 0, "x": 7, "y": 1, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "A" }, { "id": 1, "x": -7, "y": 1, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "B" } ], "line_segments": [] }'></LineGraph >

<p>Point S is at (6, 10). Point T is at (6, -10). Find the distance between the two points. </p> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "x_skip_interval": 2, "y_interval": 1 , "y_skip_interval": 2}, "points": [ { "id": 0, "x": 6, "y": 10, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "S" }, { "id": 1, "x": 6, "y": -10, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "T" } ], "line_segments": [] }'></LineGraph >

<p>Point P is at (-4, 1). Point Q is at (-4, -1). Find the distance between the two points. </p> <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": 0, "x": -4, "y": 1, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "P" }, { "id": 1, "x": -4, "y": -1, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "Q" } ], "line_segments": [] }'></LineGraph >

<p>Point G is at (5, -6). Point H is at (-5, -6). Find the distance between the two points. </p> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "x_skip_interval": 2, "y_interval": 1 , "y_skip_interval": 2}, "points": [ { "id": 0, "x": 5, "y": -6, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "G" }, { "id": 1, "x": -5, "y": -6, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "H" } ], "line_segments": [] }'></LineGraph >

<p>Point Y is at (0.5, -4). Point Z is at (-0.5, -4). Find the distance between the two points. </p> <LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "x_skip_interval": 1, "y_interval": 0.5 , "y_skip_interval": 1}, "points": [ { "id": 0, "x": 0.5, "y": -4, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "Y" }, { "id": 1, "x": -0.5, "y": -4, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "Z" } ], "line_segments": [] }'></LineGraph >

<p>Point E is at (4.5, -3). Point F is at (4.5, 3). Find the distance between the two points. </p> <LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "x_skip_interval": 1, "y_interval": 0.5 , "y_skip_interval": 1}, "points": [ { "id": 0, "x": 4.5, "y": -3, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "E" }, { "id": 1, "x": 4.5, "y": 3, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "F" } ], "line_segments": [] }'></LineGraph >

<p>Point A is at (`6`, `1`). Point B is at (`6`, `8`).</p> <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": 0, "x": 6, "y": 1, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "A " }, { "id": 1, "x": 6, "y": 8, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "B " } ], "line_segments": [] }'></LineGraph > <p> Find the distance between the two points.</p>