Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
CCSS 7.RP.A.2a · graph proportionality
Identify Proportional Relationships from Graphs
Students decide whether a graphed relationship is proportional instead of relying only on tables. Non-proportional examples can still be perfectly linear, forcing the key distinction: a proportional line must pass through the origin.
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Identify Proportional Graphs
Identify proportional graphs · Grade 7 standard · Seed 261601
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
5.
Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
7.
Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
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Is the graphed relationship proportional? Explain using the straight-line and origin test.
Check both conditions: straight line and through the origin.
Exact-construction rule: fraction unit rates stay rational, graph coordinates come from known equations, and money applications use integer cents. No answer key depends on a hidden rounding convention.
Teaching note 1
A straight line is necessary but not sufficient; proportional graphs also pass through (0, 0).
Teaching note 2
A positive y-intercept means there is already some y when x = 0, so the relationship is not y = kx.
Teaching note 3
Ask students to name both tests rather than answering from visual appearance alone.
Continue the 7.RP progression
Move to another Grade 7 representation or application
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Frequently asked questions
Are non-proportional graphs always curved?
No. This generator deliberately includes straight lines with nonzero intercepts so students must check the origin.
Are the plotted coordinates exact?
Yes. Every point uses integer coordinates generated from a known rule.