College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Chapter 1 Review - Exercises - Page 170: 45



Work Step by Step

To determine if the lines are parallel, we compare their slopes. The line $y=-\frac{1}{3}x-1$ has a slope $-\frac{1}{3}$. We need to find the slope of the line $9y+3x+3=0$: $9y+3x+3=0$ $9y=-3x-3$ $y=- \frac{1}{3}x-\frac{1}{3}$ So this line has a slope of $-\frac{1}{3}$. Since the slopes are the same, the lines are parallel.
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