#### Answer

$y= -1/5x-9/5$

#### Work Step by Step

perpendicular to $y = 5x+4$ and passes through (1, -2)
A line perpendicular to $y=5x+4$ would have a slope of -1/5 since two perpendicular lines would have a product (for their slopes) of -1. ($5*-1/5 = -1$)
$y=-1/5*x+b$
$-2 = -1/5*1+b$
$-2 = -1/5+b$
$-10/5 + 1/5 = -1/5+b+1/5$
$-9/5 = b$
$y= -1/5x-9/5$