Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Review Exercises: 15

Answer

$m=-\dfrac{1}{3}$

Work Step by Step

Using the properties of equality, the given equation, $ 3x-y=4 $ is equivalent to \begin{array}{l}\require{cancel} -y=-3x+4 \\\\ y=3x-4 .\end{array} Using $y=mx+b$ where $m$ is the slope, then the slope, $m$, of the equation above is \begin{array}{l}\require{cancel} m=3 .\end{array} Since perpendicular lines have negative-reciprocal slopes, then a line perpendicular to the equation above will have $ m=-\dfrac{1}{3} .$
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