Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.5 - The Point-Slope Form of the Equation of a Line - Exercise Set - Page 163: 33

Answer

$a.$ A line parallel to the given line has slope $m=\displaystyle \frac{1}{2}.$ $b.$ A line perpendicular to the given line has slope $m=-2$

Work Step by Step

If two nonvertical lines are parallel, then they have the same slope. If two nonvertical lines are perpendicular, then the product of their slopes is -1. --- Reading the slope from $y=mx+b$ $y= \displaystyle \frac{1}{2}$: $\quad$ The given line has slope $m=\displaystyle \frac{1}{2}$. $\displaystyle \frac{1}{2}\cdot(-2)=-1$ $a.$ A line parallel to the given line has slope $m=\displaystyle \frac{1}{2}.$ $b.$ A line perpendicular to the given line has slope $m=-2$
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