Answer
$y=-1/4x+1$
Work Step by Step
Line p: $y=4x-3$
Line n: to be determined (perpendicular to $p$ and goes through $(8,-1)$).
Perpendicular lines have lines whose product is $-1$.
$4*m=-1$
$m=-1/4$
$y=mx+b$
$-1=-1/4*8+b$
$-1 = -2+b$
$1=b$
$y=-1/4x+1$