#### Answer

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 $m_{perpendicular}=\frac{5}{6}$