# Chapter 3 - Section 3.4 - Slope and Rate of Change - Exercise Set: 46

a. $m_{parallel}=-\frac{6}{5}$ b. $m_{perpendicular}=\frac{5}{6}$

#### Work Step by Step

A line parallel to the line that passes through the points (6, -2) and (1, 4) will have a slope of $m_{parallel}=\frac{4-(-2)}{1-6}=-\frac{6}{5}$. A line perpendicular to the line that passes through the points (6, -2) and (1, 4) will have a slope of $m_{perpendicular}=\frac{5}{6}$

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