# How do you find the slope and intercept for #2x-3y=12#?

##### 1 Answer

Mar 7, 2016

slope =

#### Explanation:

One form of the equation of a line is y = mx + c , where m represents the gradient (slope) and c , the y-intercept.

Rearrange 2x - 3y = 12 into this form and extract m and c.

hence : - 3y = -2x + 12

divide both sides by - 3

#rArr (cancel(-3)y)/cancel(-3) = (-2x)/(-3) + 12/-3 #

#rArr y = 2/3 x - 4 # thus slope =

#2/3# and y-intercept = -4