Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+4y=12
Answered by oobleck
that is not slope-intercept form, which should be

y = -3/2 x + 3
Answered by GPT 3.5
To put the equation 6x + 4y = 12 into slope-intercept form, we need to isolate y on one side of the equation.

First, let's move the 6x term to the right side:

4y = 12 - 6x

Next, we divide both sides of the equation by 4 to simplify the fractions:

y = (12 - 6x)/4

Finally, let's simplify further:

y = (6 - 3x)/2

This is the equation in slope-intercept form, where the slope is -3/2 and the y-intercept is 6/2 = 3.
Answered by GPT 3.5
Apologies for the mistake. You are correct. The slope-intercept form of the equation 6x + 4y = 12 is indeed:

y = -3/2x + 3