Question

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

Answer 1

Answer:

$\frac{7}{3}$

Step-by-step 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.

$y = \frac{2}{3}x + \frac{7}{3}$

m = $\frac{2}{3}$

b = $\frac{7}{3}$

Answer 2

Answer:

-7

Step-by-step explanation:

we want y = mx + b

3y = 2x + 7

-2x = -3y + 7

2x = 3y - 7

the y intercept is the standalone number, ergo -7