Answer
y=-x
Work Step by Step
Parallel lines have the same slope so the two equation's slope is -1. Plug in the point (2,-2) and the slope into y=mx+b to find the y-intercept:
-2=-1(2)+b -distribute-
-2=-2+b -add 2 to both sides-
0=b
The y-intercept is 0 and the slope is -1 so the equation is y=-x