Answer:
y = (-1/5)x + 2
Explanation:
A line perpendicular to y = 5x + 2 would have a flipped opposite slope. Note the slope in the slope-intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Flip the slope:
y = 5x + 2
y = (-1/5)x + 2
y = (-1/5)x + 2 is your answer.
~