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