College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding - Page 179: 106


The lines are perpendicular to each other.

Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept (2) Parallel lines have equal slopes. (3) Perpendicular lines have slopes whose product is $-1$. The equations are in slope-intercept form. The first line has $m=\frac{1}{2}$ while the second line has $m=-2$. Since the product of the slopes is $-1$, the lines are perpendicular to each other.
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