Answer
$y=2x-4$
Work Step by Step
A linear function has the form $f(x)=ax+b$, with $a=$slope and $b=$y-intercept.
We calculate the slope from $(0,-4)$ and $(2,0)$ using the graph:
slope=$\frac{0--4}{2-0}=\frac{4}{2}=2$
We can find the $y$-intercept by looking at the $y$ value at $x=0$:
$f(0)=-4$
Therefore, the equation is: $y=2x-4$.