Answer
Answer Choice $I$
Work Step by Step
To find the equation of a line, you can use the formula $\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$.
$(x_1,y_1)$ is $(2,-6)$ and $(x_2,y_2)$ is $(-3,4)$.
$\frac{y - (-6) }{4 - (-6)} = \frac{x - 2}{(-3)-2}$
$\frac{y + 6}{10} = \frac{x-2}{-5}$
Cross multiply:
$-5y - 30 = 10x -20$
Add $30$ to both sides
$-5y = 10x + 10$
Divide both sides by $-5$
$\boxed{y = -2x -2}$
