Answer
$a=-0.5$
Work Step by Step
We are given $y=2ax+4$
The equation is already in slope intercept form, which is given by the formula: $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept. We can see that the coefficient of the variable x would be the slope. We set this coefficient equal to the slope m that we are given:
$2a=-1$
$a=\frac{-1}{2}$
$a=-0.5$