For lines to be parallel they must have the same slope. Since our reference line is y=5x-7 the parallel line must have the same slope, in this case 5.
So our parallel line thus far has the form:
y=5x+b, using point (-1,-3) we can find the y-intercept or "b"
-3=5(-1)+b
-3=-5+b
b=2 so the parallel line is:
y=5x+2
