Answer:
y=-2/3*x+1/3
Explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.