Answer
y=-2x-4
Work Step by Step
You are given the point(1,-6). The given equation in standard form is y=$\frac{1}{2}$x-2. Since the lines are perpendicular, the two slopes would be negative reciprocals of each other. The negative reciprocal of $\frac{1}{2}$ is -2 so that would be the new slope. Use (1,-6) and -2 to find the y-intercept:
y=mx+b
-6=-2(1)+B
-6=-2+b
-4=b
The y-intercept is -4 and the slope is -2. Use this to make an equation: y=-2x-4.
