9x + 3y = 6 9x + 3y = 6 -9x - Cecil County Public Schools

Slope Intercept Form:
y=mx + b
When putting an equation into slope intercept form, your goal is simply to get y by itself.
PROBLEM!
y is NOT all by itself. It
shares this side with 9x.
9x + 3y = 6
SOLUTION!
9x + 3y = 6
-9x
-9x
Cecil County Public Schools
2013-2014
STEP ONE
Use inverse operations (doing the opposite) and
subtract 9x from both sides
1
Mathematics
Process Guides
Slope Intercept Form:
9x + 3y = 6
-9x
-9x
y=mx + b
STEP TWO
The 9x on the left side of the problem cancels out.
The -9x and 6 on the right side of the problem must
be rewritten in the next step.
3y = -9x + 6
3
3 3
STEP THREE
The problem has been rewritten from step three.
Now to get y by itself, you need to divide both
sides by the coefficient. In this case it is 3.
STEP FOUR
y = -3x + 2
After diving, REWRITE and you are finished!
y is by itself!!!!
Cecil County Public Schools
2013-2014
2
Mathematics
Process Guides