# What is the slope and y intercept of 6x - 3y = 12?

##### 1 Answer

Aug 22, 2015

#### Explanation:

The slope-intercept form for a general line

#color(blue)(y = mx + b)" "# , where

Your starting equation is

#6x - 3y = 12#

To get it to slope-intercept form, isolate

You can do that by adding

#color(red)(cancel(color(black)(6x))) - color(red)(cancel(color(black)(6x))) - 3y = 12 - 6x#

#-3y = -6x + 12#

Now divide all the terms by

#(color(red)(cancel(color(black)(-3))) * y)/color(red)(cancel(color(black)(-3))) = ((-6))/((-3))x + 12/((-3))#

#color(green)(y = 2x - 4)#