Find the y-intercept -8y=-32

$- 8 y = - 32$

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 $- 8 y = - 32$ by $- 8$ and simplify.

Divide each term in $- 8 y = - 32$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{- 32}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{- 32}{- 8}$

Divide $y$ by $1$ .

$y = \frac{- 32}{- 8}$

Simplify the right side.

Divide $- 32$ by $- 8$ .

$y = 4$

Step 2

Using the slope-intercept form, the y-intercept is $4$ .

$b = 4$

Step 3

y-intercept in point form.

$(0, 4)$

Step 4