Find the y-intercept 4x+2y=-12

$4 x + 2 y = - 12$

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.

$y = m x + b$

Subtract $4 x$ from both sides of the equation.

$2 y = - 12 - 4 x$

Divide each term in $2 y = - 12 - 4 x$ by $2$ and simplify.

Divide each term in $2 y = - 12 - 4 x$ by $2$ .

$\frac{2 y}{2} = \frac{- 12}{2} + \frac{- 4 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 12}{2} + \frac{- 4 x}{2}$

Divide $y$ by $1$ .

$y = \frac{- 12}{2} + \frac{- 4 x}{2}$

Simplify the right side.

Simplify each term.

Divide $- 12$ by $2$ .

$y = - 6 + \frac{- 4 x}{2}$

Cancel the common factor of $- 4$ and $2$ .

Factor $2$ out of $- 4 x$ .

$y = - 6 + \frac{2 (- 2 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = - 6 + \frac{2 (- 2 x)}{2 (1)}$

Cancel the common factor.

$y = - 6 + \frac{2 (- 2 x)}{2 \cdot 1}$

Rewrite the expression.

$y = - 6 + \frac{- 2 x}{1}$

Divide $- 2 x$ by $1$ .

$y = - 6 - 2 x$

Reorder $- 6$ and $- 2 x$ .

$y = - 2 x - 6$

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