Write in y=mx+b Form 3x+4y+9=0

$3 x + 4 y + 9 = 0$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Move all terms not containing $y$ to the right side of the equation.

Subtract $3 x$ from both sides of the equation.

$4 y + 9 = - 3 x$

Subtract $9$ from both sides of the equation.

$4 y = - 3 x - 9$

Divide each term in $4 y = - 3 x - 9$ by $4$ and simplify.

Divide each term in $4 y = - 3 x - 9$ by $4$ .

$\frac{4 y}{4} = \frac{- 3 x}{4} + \frac{- 9}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 3 x}{4} + \frac{- 9}{4}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{4} + \frac{- 9}{4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{(3) x}{4} + \frac{- 9}{4}$

Move the negative in front of the fraction.

$y = - \frac{3 x}{4} - \frac{9}{4}$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{3}{4} x) - \frac{9}{4}$

Remove parentheses.

$y = - \frac{3}{4} x - \frac{9}{4}$