So, we know the slope of the original equation is 4. So the perpendicular slope is the negative reciprocal, so it's -1/4. Then, the points have to be -3, 7. So when we plug that into our equation, we get
[tex]Y-7 = -\frac{1}{4}(x--3)\\ Y-7=-\frac{1}{4}(x+3)[/tex]