Answer
$y=\dfrac{3}{4}x+2$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with slope $
\dfrac{3}{4}
$ and passing through $\left(
-8,-4
\right)$ is
\begin{array}{l}
y-(-4)=\dfrac{3}{4}(x-(-8))
\\\\
y+4=\dfrac{3}{4}(x+8)
\\\\
y+4=\dfrac{3}{4}x+6
\\\\
y=\dfrac{3}{4}x+6-4
\\\\
y=\dfrac{3}{4}x+2
.\end{array}