So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this
8x-4y=12 -8x. -8x
-4y=-8x+12 /-4. /-4
Y=2x-3
So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite
So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.
The answer is 11/12 , when getting the answer you have to get common denominator so you’d do 1/4 X 3 and you’ll get 3/12 then after all you do is add the numerator , hope this helped !