The graph shows pages read, where x = minutes and y = pages. Explain what the highlighted point (0, 0) means.
Read the x-unit and y-unit before explaining the highlighted point.
CCSS 7.RP.A.2d · meaning of (x, y)
Interpret Points on Proportional Relationship Graphs
Practice what coordinates mean in context, including the two special points emphasized by the standard: the origin and the point whose x-coordinate is 1. A highlighted point keeps the task interpretive rather than computational guessing.
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Interpret Proportional Graph Points
Interpret graph points · Grade 7 standard · Seed 261601
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The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (2, 16) means.
Read the x-unit and y-unit before explaining the highlighted point.
3.
The graph shows pages read, where x = minutes and y = pages. Explain what the highlighted point (2, 12) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (1, 4) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (1, 6) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (4, 8) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows total cost, where x = items and y = dollars. Explain what the highlighted point (4, 24) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (0, 0) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (4, 20) means.
Read the x-unit and y-unit before explaining the highlighted point.
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The graph shows total cost, where x = items and y = dollars. Explain what the highlighted point (4, 16) means.
Read the x-unit and y-unit before explaining the highlighted point.
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.
Reading what a point means on a proportional graph
Each point (x, y) on a graph pairs a quantity on the horizontal axis with a quantity on the vertical axis. On a proportional graph the origin (0, 0) means zero of one quantity goes with zero of the other, and the point (1, r) shows the unit rate. Always describe a point using the units of the axes.
Worked examples
- A graph of miles against gallons has the point (4, 120). It means 4 gallons of gas go with 120 miles.
- On the same graph the point (1, 30) means 1 gallon goes 30 miles, so the unit rate is 30 miles per gallon.
- The origin (0, 0) means 0 gallons go 0 miles.
Common slips
- Reading the coordinates in the wrong order. The first number is the horizontal one.
- Saying only 'the point is (4, 120)' without the units.
- Treating any point as the unit rate. The unit rate is the y-value where x = 1.
How to use this generator
Ask students to write a full sentence for each highlighted point that includes both quantities and their units. The answer key gives a model sentence.
Common Core connection
- 7.RP.A.2.d · Explain what points on a proportional graph mean in the quantities represented.
A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.
Classroom note 1
Read the x-coordinate first using the x-axis unit, then connect it to the y-coordinate and y-axis unit.
Classroom note 2
The origin means zero of the input quantity corresponds to zero of the output quantity.
Classroom note 3
Example: on a graph of miles against gallons, the point (4, 120) means 4 gallons of gas covers 120 miles.
Classroom note 4
The point (1, r) names the unit rate directly.
Continue the 7.RP progression
Move to another Grade 7 representation or application
Questions people ask
Does every problem ask for the unit rate?
No. Problems rotate among the origin, the unit-rate point, and general points on the relationship.
Why include context labels?
The standard asks students to explain what a point means in the situation, not only state its coordinates.
What would a point that is off the line mean?
On a true proportional graph every pair lies on the line through the origin. A point off the line would signal the relationship is not proportional.