Question

How do you write the equation in slope intercept form given (-4, 2), (-3, -5)?

Answer 1

`color(blue)(y = -7x - 26, " where m = -7, y-intercept = -26"`

Explanation:

`(x_1,y_1) = (-4,2), (x_2, y_2) = (-3, -5)`

`(y-y_1) / (y_2 - y_1) = (x - x_1) / (x_2 - x_1)`

`(y-2) / (-5-2) = (x + 4) / (-3 + 4)`

`(y - 2) = -7 * (x + 4)`

`y = -7x -28 + 2`

`y = -7x - 26, " where m = -7, y-intercept = -26"`

graph{-7x - 26 [-10, 10, -5, 5]}