Answer:
You are correct, the answer is (y=3)=-2(x-8)
Step-by-step explanation:
For this problem, let's first make the equation of the perpendicular line be in slope intercept form. Add 4y to both sides.
2x=4y+7
Subtract 7.
2x-7=4y
And divide by 4.
y=1/2x7/4
Here, the slope is 1/2, so the slope of the perpendicular line is the negative reciprocal, or -2.
Finally, substitute the given point into the point slope formula to get (y+3)=-2(x-8)
