Answer
y=-2x-4
Work Step by Step
Write given equation in standard form: y=$\frac{1}{2}$x-2 and you are given the points (1,-6). We know that the perpendicular slope is the negative reciprocal of the first equation so it is -2. So the equation of the perpendicular line is y=-2x+b. Substitute the given points to solve for b:
y=-2x+b
-6=-2(1)+b
-6=-2+b
-4=b
So the equation would be y=-2x-4
