Find the y-intercept 5y+6=0

$5 y + 6 = 0$

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 $6$ from both sides of the equation.

$5 y = - 6$

Divide each term in $5 y = - 6$ by $5$ and simplify.

Divide each term in $5 y = - 6$ by $5$ .

$\frac{5 y}{5} = \frac{- 6}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 6}{5}$

Divide $y$ by $1$ .

$y = \frac{- 6}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{6}{5}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{6}{5}$ .

$b = - \frac{6}{5}$

Step 3

y-intercept in point form.

$(0, - \frac{6}{5})$

Step 4