Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set: 17

Answer

$y=\frac{1}{2}x+5$

Work Step by Step

The given line has a slope of $\frac{1}{2}$ and goes through the point (-6,2). We can write this line in point-slope form $y-y_{1}=m(x-x_{1})$ with $m=\frac{1}{2}$ and $(x_{1},y_{1})=(-6,2)$. $y-2=\frac{1}{2}(x+6)=\frac{1}{2}x+3$ Add 2 to both sides. $y=\frac{1}{2}x+5$ This line is now in the slope-intercept form of $y=mx+b$.
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