geometry question in college algebra

Question

Find a general form of an equation of the line through the point A that satisfies the given condition.

A(1, −3);    through B(−1, 5)

Answer 1

the line's slope = (5--3)/(-1-1) = 8/-2 = -4

y=-4x + b, plug in either point to solve for b

5=4+b

b = 1

the line through A and B is y=-4x+1