Intermediate Algebra (12th Edition)

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

Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises - Page 159: 87


Neither parallel nor perpendicular.

Work Step by Step

We know that two parallel lines have the same slope ($m_1=m_2$). We also know that perpendicular lines have negative reciprocal slopes ($m_1=-\frac{1}{m_2}$). A line in slope-intercept form has the equation: $y=mx+b$ ($m=slope$, $b=y-intercept$) We put the line equations into slope-intercept form: $4x+y=0$ $y=-4x$ $y=-4x+0$ $5x-8=2y$ $2y=5x-8$ $y=5/2x-4$ The two slopes ($5/2$ and $-4$) are not the same and not negative reciprocals. Thus the lines are neither parallel nor perpendicular.
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