## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 66

Perpendicular

#### Work Step by Step

We are given two lines written in the form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept. $y=f(x)=7x-6$ and $y=g(x)=-\frac{1}{7}x+2$ In order for two lines to be parallel, they must have the same slope. However, $m=7$ for the first line and $m=-\frac{1}{7}$, so they have different slopes and cannot be parallel. Two lines are perpendicular if the product of their slopes is equal to -1. $7\times-\frac{1}{7}=-1$ Therefore, these two lines are perpendicular.

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