Chapter 4.3, Problem 48HP

To determine

To find: equations for the lines parallel and perpendicular to given graph of line.

Explanation of Solution

Given information:

Consider

Parallel lines are having equal slopes.

Whereas, the product of slopes of perpendicular lines is equal to $=-1.$

The given line equation is $y=\frac{3}{2}x-1$ .

Slope of parallel line $m=\frac{3}{2}$

Slope of perpendicular line $-\frac{1}{m}=-\frac{2}{3}$

Hence,

The line parallel to given line is $y=\frac{3}{2}x+2$ .

The line parallel to given line is $y=-\frac{2}{3}x-1$ .