Chapter 6, Problem 20CCSR

To determine

To find: the slope of the line perpendicular to given line.

Answer to Problem 20CCSR

The slope of the line perpendicular to given line $=\frac{1}{5}$ .

Explanation of Solution

Given information:

The given equation is $y=-5x+8$

Concept used:

The product of the slopes of the two perpendicular lines is equal to $=-1.$

Calculation:

Consider $y=-5x+8$

Compare with slope-intercept form of the linear equation $y=mx+c$

  $m=-5$

The slope of the line perpendicular to given line is $=-\frac{1}{m}$

  $\begin{array}{l}=-\frac{1}{-5}\\ =\frac{1}{5}\end{array}$

Hence, the slope of the line perpendicular to given line $=\frac{1}{5}$ .