Answer
$y=6x-5$
Work Step by Step
Let $(x_{1},y_{1})=(2,7)$ and $(x_{2},y_{2})=(0,-5)$
Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-5-7}{0-2}=\frac{-12}{-2}=6$
Because the line crosses the y-axis at $(0,-5)$,
Y-intercept $b=-5$.
Slope-intercept form is
$y=mx+b$.
Substituting the values of $m$ and $b$, we get an equation of line as
$y=6x-5$
