Find the Slope 2y=5x+4

$2 y = 5 x + 4$

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 $2 y = 5 x + 4$ by $2$ and simplify.

Divide each term in $2 y = 5 x + 4$ by $2$ .

$\frac{2 y}{2} = \frac{5 x}{2} + \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{5 x}{2} + \frac{4}{2}$

Divide $y$ by $1$ .

$y = \frac{5 x}{2} + \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

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

Reorder terms.

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

Step 2

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

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

Step 3