# How do I change an Ax+By=C equation to a y=mx+b equation where m is the slope and b is the y intercept like 4x+2y=8?

##### 2 Answers

Mar 21, 2018

#### Explanation:

If

then

after subtracting

then dividing both sides by

which is the slope-intercept form with

and

Mar 21, 2018

#### Explanation:

#"Rearrange "4x+2y=8" into required form"#

#"subtract "4x" from both sides"#

#cancel(4x)cancel(-4x)+2y=-4x+8#

#rArr2y=-4x+8#

#"divide all terms by 2"#

#(cancel(2) y)/cancel(2)=(-4)/2x+8/2#

#rArry=-2x+4larrcolor(red)"in slope-intercept form"#