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 - Practice and Problem-Solving Exercises - Page 312: 30



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: $\frac{2-3}{1-(-3)}=\frac{-1}{4}=-1/4$ We now plug this slope in for m, plug in an (x,y) point on the graph, and solve for b: $y=-1/4x+b \\\\ 3=-1/4(-3)+b \\\\ b=2.25$ We now plug b in with m to get the final equation: $y=-1/4x+2.25$
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