Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Mixed Review - Page 291: 77


The equation of the line is $y=2x+4$

Work Step by Step

$(x_{1},y_{1})=(-4,-4)$ $(x_{2},y_{2})=(-1,2)$ Find the slope of the line: $m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $m=\displaystyle \frac{2-(-4)}{-1-(-4)}=\frac{6}{3}=2$ You know the slope and a point on the line, so use point-slope form with either given point to write an equation of the line. Choose $(x_{1},y_{1})=(-4,-4).$ $ y-y_{1}=m(x-x_{1})\qquad$ ...substitute $-4$ for $y_{1},\ 2$ for $m$ and $-4$ for $x$. $y-(-4)=2(x-(-4))$ $ y+4=2(x+4)\qquad$ ...apply the Distributive Property. $ y+4=2x+8\qquad$ ...add $-4$ to each side. $y=2x+4$
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