Equation in slope intercept that is parallel to 3+4x=2y-9 and goes through (4,-4)

If it's parallel to that equation, then that means the slope must be the same
Using the equation they gave us, we find the slope: 
3+4x=2y-9
12+4x=2y
y=2x+6 (I just rearranged it after dividing both sides by 2)
Therefore, the slope of the equation is 2
So y=2x+b
Then they gave us the point (4,-4) and we can use that to find the intercept by plugging the values in for x and y:
-4=2(4)+b
-4=8+b
b=-12

So the equation is y=2x-12

(x) - (y) = (1 + 4i)

(3 + 6i) - (2 + 2i) = (1 + 4i)