Rearrange 3x - 2y = 5 into y = mx + c form: 2y + 5 = 3x 2y = 3x - 5 y = 1.5x - 2.5
The lines must have the same gradient to be parallel and it goes through (-2,2) so you use y - y1 = m(x - x1): y - 2 = 1.5(x - (-2)) y - 2 = 1.5x + 3 Answer: y = 1.5x + 5