You can determine the position of drawing the curve, as usual.
Let , and let C be the curve of intersection of with the plane .
Sketch the graph of the curve C.
I know how to graph y = x in R3, but I am not sure how to graph z = f(x,y). Would you use the same steps as you would when sketching a graph in R2? (e.g. first, second derivatives, asymptotes etc).