To find the line that is parallel to y=2x+2, we know the slope must be 2. Parallel lines NEVER touch. That tells us that the slope must be 2. Now, all we have to do is to plug in the point to find the y-intercept.
-7=2(-1)+b [multiply]
-7=-2+b [add both sides by 2]
b=-5
With the y-intercept, we can find the parallel line.
