Find the y-intercept 4y=-24

$4 y = - 24$

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 $4 y = - 24$ by $4$ and simplify.

Divide each term in $4 y = - 24$ by $4$ .

$\frac{4 y}{4} = \frac{- 24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 24}{4}$

Divide $y$ by $1$ .

$y = \frac{- 24}{4}$

Simplify the right side.

Divide $- 24$ by $4$ .

$y = - 6$

Step 2

Using the slope-intercept form, the y-intercept is $- 6$ .

$b = - 6$

Step 3

y-intercept in point form.

$(0, - 6)$

Step 4