Find the y-intercept 3y=27

$3 y = 27$

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.

$y = m x + b$

Divide each term in $3 y = 27$ by $3$ and simplify.

Divide each term in $3 y = 27$ by $3$ .

$\frac{3 y}{3} = \frac{27}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{27}{3}$

Divide $y$ by $1$ .

$y = \frac{27}{3}$

Simplify the right side.

Divide $27$ by $3$ .

$y = 9$

Step 2

Using the slope-intercept form, the y-intercept is $9$ .

$b = 9$

Step 3

y-intercept in point form.

$(0, 9)$

Step 4