Answer
$y=-\dfrac{1}{6}x-4$
Work Step by Step
Using $y=mx+b$ where $m$ is the slope and $b$ is the $y-$intercept, the equation of the line with the given slope $m=
-\dfrac{1}{6}
$ and the given $y-$intercept $b=
-4
$ is
\begin{array}{l}\require{cancel}
y=-\dfrac{1}{6}x-4
.\end{array}