Question

if a line has slope $-\frac{3}{8}$, then any line parallel to it has slope and any line perpendicular to it has slope

Explanation:

Step1: Slope of parallel lines

Parallel lines have equal slopes. Given slope is $-\frac{3}{8}$, so parallel slope is same.

Step2: Slope of perpendicular lines

Perpendicular slopes are negative reciprocals. Calculate negative reciprocal of $-\frac{3}{8}$:
$\text{Perpendicular slope} = -\frac{1}{-\frac{3}{8}} = \frac{8}{3}$

Answer:

Slope of parallel line: $-\frac{3}{8}$
Slope of perpendicular line: $\frac{8}{3}$