Answer
$y=2x-13$
Work Step by Step
Let $(x_{1},y_{1})=(6,-1)$ and $(x_{2},y_{2})=(3,-7)$
The slope of the line is
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-7-(-1)}{3-6}=\frac{-6}{-3}=2$
We can write the equation of a line using the value of slope $m=2$ and the point $(6,-1)$.
$y-y_{1}=m(x-x_{1})$
$\implies y-(-1)=2(x-6)$
$\implies y+1=2x-12$
$\implies y=2x-12-1$
$\implies y=2x-13$
