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: 67



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. $-4x+2y=5$ Add 4x to both sides. $2y=4x+5$ Divide both sides by 2. $y=2x+\frac{5}{2}$ Next, $2x-y=7$ Subtract 2x from both sides. $-y=-2x+7$ Divide both sides by -1. $y=2x-7$ These lines have the same value for m ($m=2$), so we know that they have the same slope. However, the first line has a b-value of $\frac{5}{2}$ and the second has a b-value of -7, so they must have different y-intercepts. Therefore, these lines are parallel.
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