Let the line y = - 3x-1 translate the vector a = (- 2,2), and the linear equation is?

Let the line y = - 3x-1 translate the vector a = (- 2,2), and the linear equation is?

y-2=-3(x+2)-1
y=-3x-5
(moving along vector (a, b), all x becomes x-a, all y becomes y-b)