Write in Slope-Intercept Form 9x+2y-18=0

$9 x + 2 y - 18 = 0$

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 $9 x$ from both sides of the equation.

$2 y - 18 = - 9 x$

Add $18$ to both sides of the equation.

$2 y = - 9 x + 18$

Divide each term in $2 y = - 9 x + 18$ by $2$ and simplify.

Divide each term in $2 y = - 9 x + 18$ by $2$ .

$\frac{2 y}{2} = \frac{- 9 x}{2} + \frac{18}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 9 x}{2} + \frac{18}{2}$

Divide $y$ by $1$ .

$y = \frac{- 9 x}{2} + \frac{18}{2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{(9) x}{2} + \frac{18}{2}$

Divide $18$ by $2$ .

$y = - \frac{9 x}{2} + 9$

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

Reorder terms.

$y = - (\frac{9}{2} x) + 9$

Remove parentheses.

$y = - \frac{9}{2} x + 9$