Is the Graph Proportional?
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Is the Graph Proportional?
Proportional graphs worksheet for Grades 7 and 8: six graphs, lines through (0, 0), lines that miss it, and curves. Is each a straight line through (0, 0), and so proportional? With an answer key.
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Teach it first
Is the Graph Proportional?A teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.- Pages
- 1
- Last updated
- Time
- About 20 minutes
- Answer key
- Included
- Goes with
- Is It Proportional?, The Unit Rate on a Graph
- Printing
- Black and white
- Related curriculum
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Tell whether a table or graph shows a proportional relationship, find the constant of proportionality k = y/x, write y = kx, and say what a point on the graph means.
Reviewed by Mr. Daniel Carter, Teacher and Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child divide y by x for every row of a table. If the answer is the same each time, the relationship is proportional.
- For graphs, check two things: a straight line, and it passes through (0, 0).
- Have the child write the equation as y = kx and say what k means in the story.
Common mistakes
- Calling any straight line proportional. It must also go through the origin.
- Finding k as x divided by y instead of y divided by x.
- Calling a relationship proportional because both amounts go up. They must go up at the same rate.
