The table below shows three values of $x$ and their corresponding values of $g(x)$, where $g(x)=\frac{f(x)}{x+0.5}$ and $f(x)$ is a linear function.

x	g(x)
1	-8
2	-2.4
4	$\frac{4}{3}$

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