Thread: Calculus of several variables

having trouble with his, do I just work backwards?

Let f(x,y) be a function whose graph is a plane. Given that f x (1,2)= -3

and f y (1,2) = 2 and that f(0,0) = 4 find f(x,y)

If "its graph is a plane" then f(x,y)= Ax+ By + C. Now what are and ?

f_x(x,y) = A and f_y(x,y) = B ??

is it f(x,y) = -3x + y + 4 = 0?