Question

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

Answer 1

Answer: Slope-intercept form would be

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

Explanation:

we need to get
`y` from the given equation, then:

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

Answer 2

Explanation:

Slope-intercept form is

y = mx + b

arrange this equation to that form

2x + 3y = 6 subtract '2x' from both sides of the equation

3y = - 2x + 6 divide through by '3'

y = - 2/3 x + 2 Done.