Find the y-intercept 6y+9=0

$6 y + 9 = 0$

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 $9$ from both sides of the equation.

$6 y = - 9$

Divide each term in $6 y = - 9$ by $6$ and simplify.

Divide each term in $6 y = - 9$ by $6$ .

$\frac{6 y}{6} = \frac{- 9}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{- 9}{6}$

Divide $y$ by $1$ .

$y = \frac{- 9}{6}$

Simplify the right side.

Cancel the common factor of $- 9$ and $6$ .

Factor $3$ out of $- 9$ .

$y = \frac{3 (- 3)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$y = \frac{3 \cdot - 3}{3 \cdot 2}$

Cancel the common factor.

$y = \frac{3 \cdot - 3}{3 \cdot 2}$

Rewrite the expression.

$y = \frac{- 3}{2}$

Move the negative in front of the fraction.

$y = - \frac{3}{2}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{3}{2}$ .

$b = - \frac{3}{2}$

Step 3

y-intercept in point form.

$(0, - \frac{3}{2})$

Step 4