Write in y=mx+b Form 3x+2y+5=0

$3 x + 2 y + 5 = 0$

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.

$2 y + 5 = - 3 x$

Subtract $5$ from both sides of the equation.

$2 y = - 3 x - 5$

Divide each term in $2 y = - 3 x - 5$ by $2$ and simplify.

Divide each term in $2 y = - 3 x - 5$ by $2$ .

$\frac{2 y}{2} = \frac{- 3 x}{2} + \frac{- 5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 3 x}{2} + \frac{- 5}{2}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{2} + \frac{- 5}{2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{(3) x}{2} + \frac{- 5}{2}$

Move the negative in front of the fraction.

$y = - \frac{3 x}{2} - \frac{5}{2}$

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

Reorder terms.

$y = - (\frac{3}{2} x) - \frac{5}{2}$

Remove parentheses.

$y = - \frac{3}{2} x - \frac{5}{2}$