Answer: choice D) y + 8 = 2(x-4)
The slope of the given equation is -1/2 since the equation is in the form y = mx+b. Flip the fraction to get -2/1 and then flip the sign to get +2/1 = 2/1 = 2. The perpendicular slope is 2.
We will use m = 2 as part of the answer. We'll also plug in (x1,y1) = (4,-8) into the point slope form below
y - y1 = m(x - x1)
y - (-8) = 2(x - 4)
y + 8 = 2(x- 4)