Answer
The slope of the line perpendicular to the given line is $\frac{1}{5}$.
Work Step by Step
We know that perpendicular lines have slopes that are negative reciprocals of one another.
First, we want to find the slope of the line given. The line is in slope-intercept form, which is given by the formula $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
The slope for the equation $y = -5x + 8$ is $-5$. The negative reciprocal of this slope is $\frac{1}{5}$. Therefore, the slope of the line perpendicular to the given line is $\frac{1}{5}$.
