Example

Interpreting the Slope and hh-Intercept of h=2s+50h = 2s + 50

The linear equation h=2s+50h = 2s + 50 models a woman's estimated height in inches, hh, based on her shoe size, ss. Since the equation is in slope-intercept form (y=mx+by = mx + b), we can identify the slope as 22 and the hh-intercept as (0,50)(0, 50). In this context, the slope of 22 indicates that the estimated height increases by 22 inches for every 11 unit increase in shoe size. The hh-intercept of 5050 signifies that a hypothetical person wearing a women's shoe size of 00 would have an estimated height of 5050 inches. Evaluating the equation for a shoe size of s=8s = 8 yields a height of h=2(8)+50=66h = 2(8) + 50 = 66 inches. To graph this relationship, one can plot the hh-intercept at (0,50)(0, 50) and use the slope (21\frac{2}{1}) to count up 22 units and right 11 unit to find a second point.

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Updated 2026-05-03

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