Answer
y=-2x-1
Work Step by Step
You have (-2,3) perpendicular to y=$\frac{1}{2}$x-1. The slope is $\frac{1}{2}$,so the other slope would be -2 because that is the negative reciprocal of $\frac{1}{2}$. Use (-2,3) and -2 to find b:
y=mx+b -substitute-
3=-2(-2)+b -distibute-
3=4+b -subtract 1 from both sides-
-1=b
The slope is -2 and the y-intercept is -1 so the equation would be y=-2x-1.
