# How do you find the slope-intercept form of the equation of a line that passes through the (-5, 3) and 2,-3)?

Dec 8, 2016

$- 6 x + 3 = y$

y intercept = 3

m slope = - 6x

#### Explanation:

The Slope-Intercept form is:

$m = \frac{y - b}{x - 0}$

$\frac{y 2 - y 1}{x 2 - x 1}$ = $\frac{- 3 - \left(+ 3\right)}{2 - \left(- 5\right)}$

$m = - \frac{6}{7}$

$- \frac{6}{7} = \frac{- 3 - 3}{2 + 5} = \frac{y - 3}{7 x + 0}$

$- \frac{6}{7} \cdot \left(7 x\right) + 3 = y$

$- \frac{42}{7} + 3 = y$

$- 6 x + 3 = y$

y intercept = 3

m slope = - 6x

graph{-6x + 3 [-10, 10, -5, 5]}