Answer
$y=-1/8*x+21/2$
Work Step by Step
Perpendicular to $y=8x-1$ and passes through (4, 10)
$8*m = -1$
$8*m/8 = -1/8$
$m=-1/8$
$y=mx+b$
$y=-1/8*x+b$
$10 = -1/8*4+b$
$10 = -1/2 + b$
$10+1/2= -1/2 +b + 1/2$
$21/2 = b$
$y=-1/8*x+21/2$