Answer
$y=\frac{8}{3}x+5$
Work Step by Step
Let $(x_{1},y_{1})=(0,5)$ and $(x_{2},y_{2})=(-1.5,1)$
Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{1-5}{-1.5-0}=\frac{-4}{-1.5}=\frac{8}{3}$
Because the line crosses the y-axis at $(0,5)$,
Y-intercept $b=5$.
Equation of line in the slope-intercept form is
$y=mx+b$.
Substituting the values of $m$ and $b$, we get an equation of line as
$y=\frac{8}{3}x+5$
