Answer
$y=-2x+2$
Work Step by Step
line goes through $(-2,6)$ and is perpendicular to $f(x) = 1/2*x-1/3$
Perpendicular lines have the product of their slopes equal to $-1$.
$1/2*m=-1$
$1/2*m*2=-1*2$
$m=-2$
$y=mx+b$
$y=-2x+b$
$y=-2x+b$
$6=-2*x+b$
$6=-2*-2+b$
$6=4+b$
$6-4=4+b-4$
$2=b$
$y=-2x+2$
