Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Got It?: 4

Answer

$y=1/2x-3.5$

Work Step by Step

We first find the slope. The equation for slope is: $ \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Thus, we obtain: $\frac{-2-(-3)}{3-1}=\frac{1}{2}=1/2$ We now plug this slope in for m, plug in an (x,y) point on the graph, and solve for b: $y=1/2x+b \\\\ -3=1/2(1)+b \\\\ b=-3.5$ We now plug b in with m to get the final equation: $y=1/2x-3.5$
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