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

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Answer 1 · 2015-08-22T19:26:46

#y = 2x - 4#

The slope-intercept form for a general line #y# looks like this

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

#b# - the #y#-intercept;
#m# - the slope of the line.

Your starting equation is

#6x - 3y = 12#

To get it to slope-intercept form, isolate #y# on one side of the equation.

You can do that by adding #-6x# to both sides of the equation

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

#-3y = -6x + 12#

Now divide all the terms by #-3# to get

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

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