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: 68

Answer

Parallel

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. $-8x+20y=7$ Add 8x to both sides. $20y=8x+7$ Divide both sides by 20. $y=\frac{2}{5}x+\frac{7}{20}$ Next, $2x-5y=0$ Subtract 2x from both sides. $-5y=-2x$ Divide both sides by -5. $y=\frac{2}{5}x=\frac{2}{5}x+0$ These lines have the same value for m ($m=\frac{2}{5}$), so we know that they have the same slope. However, the first line has a b-value of $\frac{7}{20}$ and the second has a b-value of 0, so they must have different y-intercepts. Therefore, these lines are parallel.
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