The equation of a line is given by y = mx + b. you know slope m=-4. Now plug in the point (x,y)=(2,2) to get b and a new equation (thats parallel)
[tex]y = - 4x + b \\ (2) = - 4(2) + b \\ 2 = - 8 + b \\ b = 10[/tex]
So we have
[tex]y = - 4x + 10[/tex]
Thats parallel and passes through (2,2).
