First, it's important to note that any line parallel to y = -7x + 2 will automatically start with y = -7x. Period. This is helpful because we then have y = -7x + b.
There is only one line in the math universe that is parallel to y = -7x + 2 and contains the point (-5,32), and to do this we need to find an instance of y = -7x +b that actually identifies with these points.
32 = -7 (-5) + b
32 = 35 + b
b = -3
So, the parallel line should be y = -7x - 3. But let's check this to make sure:
32 = -7 (-5) -3
32 = 35 - 3
32 = 32
That should be right ;D
