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The equation $h=2s+50$is used to estimate a woman鈥檚 height in inches, h, based on her shoe size, s.

鈸� Estimate the height of a child who wears women鈥檚 shoe size 0.

鈸� Estimate the height of a woman with shoe size 8.

鈸� Interpret the slope and h-intercept of the equation.

鈸� Graph the equation.

Put $s=0$in the equation $h=2s+50$

$h=2\left(0\right)+50$

$h=0+50$

$h=50$

Put $s=8$in the equation $h=2s+50$

$h=2\left(8\right)+50$

$h=16+50$

$h=66$

The equation $h=2s+50$is in slope-intercept form $y=mx+b$.

by comparison, we get, slope, $m=2$, which means that estimated height of woman increases by 2 inches with increase in shoe size by 1 inch. h-intercept means that when shoe size is 0, estimated height of woman is 50 inches.

Graphing the equation$h=2s+50$

Start at the h-intercept $(0,50)$, and then count out the rise of 2 and the run of 1 to get a second point as shown in the graph.