Answer
$y=2x-5$
Work Step by Step
Let $(x_{1},y_{1}) =(1,-3)$ and $(x_{2},y_{2})=(3,1)$
Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{1-(-3)}{3-1}=\frac{4}{2}=2$
Point-slope form is
$y-y_{1}=m(x-x_{1})$
Using the values of slope $m$ and point $(3,1)$, we get
$y-1=2(x-3)$
Solving the equation for $y$, we get the equation of line in slope-intercept form.
$y=2x-6+1=2x-5$
