Algebra 1: Common Core (15th Edition)

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

Chapter 5 - Linear Functions - 5-4 Point-Slope Form - Lesson Check: 4

Answer

$y+2=2(x+1)$

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: $\frac{4-(-2)}{2-(-1)}=\frac{6}{3}=2$ Recall, the equation for point slope form is the following: $y- y_{1}=m(x - x_{1})$, where $(x_{1} , y_{1})$ is a point on the line and m is the slope of the line. Thus, we plug -1 in for $x_{1}$, -2 in for $y_{1}$, and 2 in for m to obtain the answer: $y+2=2(x+1)$
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