Find the Slope x+9y=18

$x + 9 y = 18$

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 $x$ from both sides of the equation.

$9 y = 18 - x$

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

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

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

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $18$ by $9$ .

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

Move the negative in front of the fraction.

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

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

Reorder $2$ and $- \frac{x}{9}$ .

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

Reorder terms.

$y = - (\frac{1}{9} x) + 2$

Remove parentheses.

$y = - \frac{1}{9} x + 2$

Step 2

Using the slope-intercept form, the slope is $- \frac{1}{9}$ .

$m = - \frac{1}{9}$

Step 3