# How do you find the slope and intercept of 2x-3y=6?

Jan 5, 2016

 slope = 2/3 and intercept = -2

#### Explanation:

begin by rewriting the equation in the form y = mx + c where m = slope and c = intercept

so 2x - 3y = 6 ( and rewriting gives)
-3y = -2x + 6 ( now divide all terms by -3)

(-3y)/-3 =( -2x)

and y = $\left(\frac{2}{3}\right) x - 2$

hence $m = \frac{2}{3} \mathmr{and}$ intercept = - 2