Question

For the linear equation 3y = 2x + 7, the y-intercept is ___.

Answer 1

`(7)/(3)`

Explanation:

Change the equation in slope-intercept form and read out y-intercept.

Slope-Intercept Form

y = mx + b

m ... slope

b ... y-intercept

To change given equation to slope-intercept form we isolate y.

`3y = 2x + 7`

Divide both sides with 3.

`y = (2)/(3)x + (7)/(3)`

m =
`(2)/(3)`

b =
`(7)/(3)`

Answer 2

-7

Explanation:

we want y = mx + b

3y = 2x + 7

-2x = -3y + 7

2x = 3y - 7

the y intercept is the standalone number, ergo -7