Question

What is the slope-intercept form of the linear equation 2x + 3y = 6? PLEASE ANSWER THANK YOU!!!

Answer 1

y = -2/3x + 2

Explanation:

The slope-intercept form should be in the form of y = mx + b.

Where m is the slope, b is the y-intercept.

2x + 3y = 6

Make y as the subject.

3y = 6 - 2x

y = 6/3-2/3x

y = 2 - 2/3x

-2/3 is the slope. 2 is the y-intercept.

Answer 2

Hey there!

Your answer would be y=-2/3x+2

We are given 2x+3y=6, and want to turn that into a slope-intercept equation (y=mx+b, where m is the slope and b is the y intercept)

Start by subtracting 2x on both sides: 3y=6-2x

Rearrange to get the x term before the 6: 3y=-2x+6

Divide by 3 to get your answer: y=-2/3x+2