What is 3x-4y=123x−4y=12 in slope-intercept form?

1 Answer
Jack
Sep 29, 2016

y = 3/4x-3y=34x−3

Explanation:

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

Starting with 3x-4y=123x−4y=12, we can add 4y4y to each side, yielding
3x-4y+4y=12+4y 3x−4y+4y=12+4y
and -4y+4y = 0−4y+4y=0, so we are left with
3x=12+4y3x=12+4y
We now subtract 12 from both sides:
3x-12=12+4y-123x−12=12+4y−12
12-12 = 012−12=0, leaving us with:
3x-12 = 4y3x−12=4y
We now divide by 4 on both sides:
(3x-12)/4 = (4y)/43x−124=4y4
We know (4y)/4 = y4y4=y
On the left hand side, we can split (3x-12)/43x−124 into (3x)/4 - 12/43x4−124.
Simplifying, we find 3/4x - 3 = y34x−3=y, which is in slope intercept form, as requested.

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