Why is a = 2 a necessary and sufficient condition for "a line ax + 2Y = 0 parallel to a line x + y = 1"?

Why is a = 2 a necessary and sufficient condition for "a line ax + 2Y = 0 parallel to a line x + y = 1"?


A necessary and sufficient condition for 2x + 2Y = 0 2 (x + y) = 0 x + y = 0 x + y = 1