Find the Slope 5y=2x+3

$5 y = 2 x + 3$

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

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

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{2}{5}$ .

$m = \frac{2}{5}$

Step 3