Answer
$y=-\frac{2}{5}x-1$
Work Step by Step
Let $(x_{1},y_{1})=(0,-1)$ and $(x_{2},y_{2})=(5,-3)$
Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-(-1)}{5-0}=\frac{-2}{5}$
Because the line crosses the y-axis at $(0,-1)$, the y-intercept $b$ is $-1$.
Slope-intercept form is $y=mx+b$.
Substituting the values of $m$ and $b$, we get the equation as
$y=-\frac{2}{5}x-1$
