What is 3x-4y=12 in slope-intercept form?

1 Answer
Jack
Sep 29, 2016

y = 3/4x-3

Explanation:

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

Starting with 3x-4y=12, we can add 4y to each side, yielding
3x-4y+4y=12+4y
and -4y+4y = 0, so we are left with
3x=12+4y
We now subtract 12 from both sides:
3x-12=12+4y-12
12-12 = 0, leaving us with:
3x-12 = 4y
We now divide by 4 on both sides:
(3x-12)/4 = (4y)/4
We know (4y)/4 = y
On the left hand side, we can split (3x-12)/4 into (3x)/4 - 12/4.
Simplifying, we find 3/4x - 3 = y, which is in slope intercept form, as requested.

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