Step 1: Intercepts:
Put $E_k = 0$: $\nu = W_0/h = \nu_0$, the intercept on the $\nu$ axis. At $\nu = 0$, $E_k = -W_0$, a negative value, which is not physical.
Step 2: Slope:
The slope is $h$, a positive constant, so the line rises.
Step 3: Pick the picture:
Only graph (C) begins on the frequency axis at $\nu_0$ and rises with slope $h$.
Final Answer:
Graph C shows the threshold and linear rise.
\[ \boxed{\text{(C) }\text{Graph (C)}} \]