Answer
$y=-\frac{5}{3}x+\frac{5}{3}$
Work Step by Step
The equation of a line which connects two points is $y-y_{1}= m(x-x_{1})$ where $m=\frac{y_{2}−y_{1}}{x_{2}−x_{1}}$
Our points are:
$P_{1}$=(-5,10)
$P_{2}$=(7,-10)
Substituting our points we get
$m=\frac{-10-10}{7-(-5)}=-\frac{5}{3} $
$y-10=-\frac{5}{3}(x-(-5))$
$y=-\frac{5}{3}x+\frac{5}{3}$
