Find the Slope 3y=2x+5

$3 y = 2 x + 5$

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 $3 y = 2 x + 5$ by $3$ and simplify.

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{2}{3}$ .

$m = \frac{2}{3}$

Step 3