Find the Slope 9y=5x

$9 y = 5 x$

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.

$y = m x + b$

Divide each term in $9 y = 5 x$ by $9$ and simplify.

Divide each term in $9 y = 5 x$ by $9$ .

$\frac{9 y}{9} = \frac{5 x}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{5 x}{9}$

Divide $y$ by $1$ .

$y = \frac{5 x}{9}$

Reorder terms.

$y = \frac{5}{9} x$

Step 2

Using the slope-intercept form, the slope is $\frac{5}{9}$ .

$m = \frac{5}{9}$

Step 3