## Algebra 1: Common Core (15th Edition)

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