#### Answer

$y=\dfrac{1}{3}x-2$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the Slope-Intercept form of linear equations to find the equation of the line with the given characteristics:
\begin{array}{l}\require{cancel}
\text{slope: }
\dfrac{1}{3}
\\\text{$y$-intercept: }
(0,-2)
.\end{array}
$\bf{\text{Solution Details:}}$
Using $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept), then the equation of the line is
\begin{array}{l}\require{cancel}
y=mx+b
\\\\
y=\dfrac{1}{3}x-2
.\end{array}