Find the Slope 4y=9x

$4 y = 9 x$

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 $4 y = 9 x$ by $4$ and simplify.

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{9}{4}$ .

$m = \frac{9}{4}$

Step 3