Intermediate Algebra (12th Edition)

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

Chapter 2 - Section 2.6 - Function Notation and Linear Functions - 2.6 Exercises: 77

Answer

parallel: $m=-\dfrac{3}{2}$ perpendicular: $m=\dfrac{2}{3}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the fact that parallel lines have same slopes while perpendicular lines have negative reciprocal slopes. $\bf{\text{Solution Details:}}$ In Exercise $76,$ the computed value of the slope of the line is $m=-\dfrac{3}{2}.$ Since parallel lines have the same slope, any line that is parallel to the given line will also have a slope of $m=-\dfrac{3}{2}.$ Since perpendicular lines have negative reciprocal slopes, any line that is perpendicular to the given line will have a slope of $m=\dfrac{2}{3}.$
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