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: 46

Answer

Perpendicular

Work Step by Step

To determine if the lines are parallel or perpendicular, we compare their slopes. We start with the line $5x-8y=3$: $5x-8y=3$ $8y=5x-3$ $y=\frac{5}{8}x-\frac{3}{8}$ So this line has a slope of $\frac{5}{8}$. Next, we look at the line $10y+16x=1$: $10y+16x=1$: $10y=-16x+1 $ $y=-\frac{8}{5}x+\frac{1}{10}$ This line has a slope of $-\frac{8}{5}=-\frac{1}{5/8}$ Since the two slopes are negative reciprocals of each other, the lines are perpendicular.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.