Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 70

Answer

Perpendicular

Work Step by Step

We are given two equations of lines. We can transform these equations into the form y=mx+b, where m is the slope of the line and the point (0,b) is the y-intercept. $2x-y=-10$ Subtract 2x from both sides. $-y=-2x-10$ Divide both sides by -1. $y=2x+10$ Next, $2x+4y=2$ Subtract 2x from both sides. $4y=−2x+2$ Divide both sides by 4. $y=-\frac{1}{2}x+\frac{1}{2}$ These lines have a different value for m, so they cannot be parallel, as they do not have the same slope. Two lines are perpendicular if the product of their slopes is equal to -1. $2\times-\frac{1}{2}=-1$ Therefore, these lines are perpendicular.
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