The table below shows three values of $x$ and their corresponding values of $k(x)$, where $k(x)=\frac{f(x)}{x+4}$ and $f(x)$ is a linear function.

x	k(x)
-2	5
1	2
4	1

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