What is 3x4y=12 in slope-intercept form?

1 Answer
Sep 29, 2016

y=34x3

Explanation:

Slope-intercept form means we are looking for an equation of the type y=mx+b

Starting with 3x4y=12, we can add 4y to each side, yielding
3x4y+4y=12+4y
and 4y+4y=0, so we are left with
3x=12+4y
We now subtract 12 from both sides:
3x12=12+4y12
1212=0, leaving us with:
3x12=4y
We now divide by 4 on both sides:
3x124=4y4
We know 4y4=y
On the left hand side, we can split 3x124 into 3x4124.
Simplifying, we find 34x3=y, which is in slope intercept form, as requested.