The table below shows three values of $x$ and their corresponding values of $h(x)$, where $h(x)=\frac{f(x)}{x-2}$ and $f(x)$ is a linear function.

x	h(x)
1	6
3	10
5	14

What is the $y$-intercept of the graph of $y=f(x)$ in the $xy$-plane?