Let be the line defined by the vector equation v= [-1 -1] + t[-2 2]. Find the equation y=mx+b for L .

Answer 1

We have that x=-2t-1 and y=2t-1. Solving both of them for t we get that (-1-x)/2=t=(y+1)/2. Setting them equal we obtain y+1=-x-1 or y=-x-2 which is the answer.