Answer
$y=\dfrac{9}{2}$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with slope $
0
$ and passing through $\left(
-4,\dfrac{9}{2}
\right)$ is
\begin{array}{l}
y-\dfrac{9}{2}=0(x-(-4))
\\\\
y-\dfrac{9}{2}=0
\\\\
y=\dfrac{9}{2}
.\end{array}