Find the y-intercept -4y=-36

$- 4 y = - 36$

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 $- 4 y = - 36$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 36$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 36}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 36}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 36}{- 4}$

Simplify the right side.

Divide $- 36$ by $- 4$ .

$y = 9$

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