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# Identify Proportional Relationships (Graphs) Problems

5 questions

### #1 of 5:Medium

Identify proportional relationships (graphs)

<p>Does the graph represent a proportional relationship?</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><LineGraph data-props='{ "options": { "x_min": -3, "y_min": -3, "y_max": 3, "x_max": 3, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5, "show_major_and_minor_grid_lines": true, "x_skip_interval": 1, "y_skip_interval": 1 }, "points": [ { "id": 0, "x": 0, "y": 0, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "point_shape": "line", "x_coordinate_highlight": true, "y_coordinate_highlight": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 1, "x": 3, "y": -1.3, "show_point": false, "highlight_point": true, "highlight_point_color": "#377CF6", "point_shape": "line", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": true, "start_arrow_shape": " ", "end_arrow_shape": " ", "highlight_line": "black", "label": " " } ]}'></LineGraph >

### #2 of 5:Mild

Identify proportional relationships (graphs)

<p>Does the graph represent a proportional relationship? </p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><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},"points":[{"id":0,"x":0,"y":0,"show_point":false,"highlight_point":false,"show_coordinates":false,"highlight_point_color":"#377CF6","x_coordinate_highlight":true,"y_coordinate_highlight":true,"show_x_intercept_point":false,"show_y_intercept_point":false,"show_x_intercept":false,"show_y_intercept":false},{"id":1,"x":6,"y":6,"show_point":false,"highlight_point":false,"highlight_point_color":"#A3A3B3","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},{"id":2,"x":-6,"y":-2,"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}],"line_segments":[{"first_point_id":1,"second_point_id":2,"show_start_arrow":true,"show_end_arrow":true,"highlight_line":"black"}]}'></linegraph>

### #3 of 5:Mild

Identify proportional relationships (graphs)

<p>Does the graph represent a proportional relationship?</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><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},"points":[{"id":0,"x":0,"y":0,"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,"show_point":false,"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":3,"show_point":false,"highlight_point":false,"highlight_point_color":"#377CF6","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}],"line_segments":[{"first_point_id":1,"second_point_id":2,"show_start_arrow":true,"show_end_arrow":true,"highlight_line":"black"}]}'></linegraph>

### #4 of 5:Medium

Identify proportional relationships (graphs)

<p>Does the graph represent a proportional relationship?</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><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},"points":[{"id":0,"x":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":2,"y":0,"show_point":false,"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,"show_point":false,"highlight_point":false,"highlight_point_color":"#377CF6","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}],"line_segments":[{"first_point_id":0,"second_point_id":1,"third_point_id":2,"show_start_arrow":false,"show_end_arrow":true,"highlight_line":"black"}]}'></linegraph>

### #5 of 5:Medium

Identify proportional relationships (graphs)

<p>Does the graph represent a proportional relationship? </p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><LineGraph data-props='{ "options": { "x_min": -3, "y_min": -3, "y_max": 3, "x_max": 3, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5, "show_major_and_minor_grid_lines": true, "x_skip_interval": 1, "y_skip_interval": 1 }, "points": [ { "id": 0, "x": 0, "y": 1.5, "show_point": false, "highlight_point": false, "highlight_point_color": "#377CF6", "point_shape": "line", "x_coordinate_highlight": true, "y_coordinate_highlight": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 1, "x": 2.5, "y": 3, "show_point": false, "highlight_point": true, "highlight_point_color": "black", "point_shape": "line", "x_coordinate_highlight": false, "y_coordinate_highlight": true, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": false, "show_end_arrow": true, "start_arrow_shape": " ", "end_arrow_shape": " ", "highlight_line": "black", "label": " " } ]}'></LineGraph >

It is easy to determine whether the variables are in a proportional relationship or not in a graph. It can be done in the given ways - If the lines pass through the origin, they are meant to be in a proportional relationship. This line intercepts from the origin. If all the variables are equivalent to each other, they are meant to be in a ‘proportional relationship’.

Share these interesting ‘graph proportional relationships problems with your students

You can also try our Identifying Proportional Relationships Worksheet for a better understanding of the concepts.

You can take help from our Graph A Proportional Relationship Lesson Plan perfect for empowering your math students!

It is easy to determine whether the variables are in a proportional relationship or not in a graph. It can be done in the given ways - If the lines pass through the origin, they are meant to be in a proportional relationship. This line intercepts from the origin. If all the variables are equivalent to each other, they are meant to be in a ‘proportional relationship’.

Share these interesting ‘graph proportional relationships problems with your stu...

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Rates And Proportional Relationships
7.RP.A.2.A

### 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.”

### 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.”