Question

Which of the following equations is 2x + 3y = 6 written in slope-intercept form.

oy--(2/3)x + 6
y=-2/3)x+ 2
y=-(3/2)x+ 2

Answer 1

Answer:
`y=(-2)/(3)x+2`

Explanation:

In slope-intercept form y is isolated

So Let's solve for y.

`2x+3y=6`

Step 1: Add -2x to both sides.

`2x+3y+-2x=6+-2x\\3y=-2x+6`

Step 2: Divide both sides by 3.

`(3y)/(3) =(-2x+6)/(3) \\y=(-2)/(3)x+2`