Answer
Graph is F
Contour map is I
Work Step by Step
Graph is F
When $x=y$, the value of the function is 0, which is true for Graph F. Moreover, when we have $x-y=constant$, we have a constant, which makes sense because $sin(constant)$ is a constant.
Contour map is I
As we noted above, when $x-y=constant$, we have a constant. Therefore, the contour lines must be lines such that $x-y=constant$.