#### Answer

$y=\dfrac{2}{3}x-5$

#### Work Step by Step

Using $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept) or the Slope-Intercept Form of linear equations, then the equation of the line with the given slope equal to $\dfrac{2}{3}$ and $y$-intercept equal to $-5$ is
\begin{array}{l}\require{cancel}
y=mx+b
\\\\
y=\dfrac{2}{3}x-5
.\end{array}