Find the y-intercept y=2/3+3

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

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the right side.

Simplify $\frac{2}{3} + 3$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{2}{3} + 3 \cdot \frac{3}{3}$

Combine $3$ and $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{3 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{2 + 3 \cdot 3}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$y = \frac{2 + 9}{3}$

Add $2$ and $9$ .

$y = \frac{11}{3}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{11}{3}$ .

$b = \frac{11}{3}$

Step 3

y-intercept in point form.

$(0, \frac{11}{3})$

Step 4