Perpendicular lines has the negative reciprocal slope, so the slope is -5.
The y-intercept can be found by using point (-5,8) and plugging it into the equation: 8 = -5(-5) + b, b = -17. Unless you are not looking for a specific line. Then anything can be used as d.
Answer: Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to y=1/5x−1. y=−5x−17