## Algebra 1: Common Core (15th Edition)

Answer Choice $I$
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 $-5$ $\boxed{y = -2x -2}$