Find the y-intercept 4y+7=0

$4 y + 7 = 0$

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 $7$ from both sides of the equation.

$4 y = - 7$

Divide each term in $4 y = - 7$ by $4$ and simplify.

Divide each term in $4 y = - 7$ by $4$ .

$\frac{4 y}{4} = \frac{- 7}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 7}{4}$

Divide $y$ by $1$ .

$y = \frac{- 7}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{7}{4}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{7}{4}$ .

$b = - \frac{7}{4}$

Step 3

y-intercept in point form.

$(0, - \frac{7}{4})$

Step 4