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Graph to constant of proportionality · grades 6–7

Find Unit Rate from a Proportional Graph

Read the constant of proportionality directly from a graph. Exact plotted points make it possible to compare y/x or use the meaningful point (1, k) without estimating from a picture.

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Find Unit Rate from Graphs

Graph to unit rate · Small whole numbers · Seed 261501

1.

Find k from the plotted points.

xy618k = ___
2.

Find k from the plotted points.

xy624k = ___
3.

Find k from the plotted points.

xy612k = ___
4.

Find k from the plotted points.

xy612k = ___
5.

Find k from the plotted points.

xy618k = ___
6.

Find k from the plotted points.

xy630k = ___
7.

Find k from the plotted points.

xy630k = ___
8.

Find k from the plotted points.

xy618k = ___
9.

Find k from the plotted points.

xy612k = ___
10.

Find k from the plotted points.

xy636k = ___
No fake precision: tables, graph points, equations, and double number lines come from the same exact whole-number constant of proportionality. Better Buy problems compare integer cents per item, so a winner is never chosen from a rounded display value.
Teaching note 1

Choose a plotted point and calculate y/x to find k.

Teaching note 2

The point (1, k) shows the y-value for one x-unit, which is the unit rate.

Teaching note 3

A line through the origin is necessary but not enough; its y/x value must match every plotted point.

All proportional relationship skills →

Move among tables, equations, graphs, double number lines, and Better Buy decisions in one exact generator.

Return to ratio foundations →

Practice simplified ratios, equivalent tables, unit rates, proportions, and percent proportions.

Frequently asked questions

Why are points shown instead of only a line?

Visible integer-coordinate points let students read an exact rate rather than estimate a slope from the picture.

Is this the same as slope?

For y = kx, the constant of proportionality equals the slope, but this worksheet emphasizes the per-one rate meaning.