Find the y-intercept 7y+9=0

$7 y + 9 = 0$

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.

$7 y = - 9$

Divide each term in $7 y = - 9$ by $7$ and simplify.

Divide each term in $7 y = - 9$ by $7$ .

$\frac{7 y}{7} = \frac{- 9}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 9}{7}$

Divide $y$ by $1$ .

$y = \frac{- 9}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{9}{7}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{9}{7}$ .

$b = - \frac{9}{7}$

Step 3

y-intercept in point form.

$(0, - \frac{9}{7})$

Step 4