Intermediate Algebra (6th Edition)

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

Chapter 3 - Section 3.5 - Equations of Lines - Vocabulary, Readiness & Video Check: 9

Answer

Neither

Work Step by Step

We are given the lines $y=-9x+3$ $y=\frac{3}{2}x-7$ These lines are written in the slope-intercept form $y=mx+b$ (where m is the slope of the line, and the point $(0,b)$ is the y-intercept). These lines both different slopes, so they cannot be parallel. We can check if these lines are perpendicular by seeing if the product of their slopes equals -1. $-9\times\frac{3}{2}=-\frac{27}{2}\ne-1$ Therefore, these lines are neither parallel or perpendicular.
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