Find the Slope 2x=5y-10

$2 x = 5 y - 10$

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.

$y = m x + b$

Rewrite the equation as $5 y - 10 = 2 x$ .

$5 y - 10 = 2 x$

Add $10$ to both sides of the equation.

$5 y = 2 x + 10$

Divide each term in $5 y = 2 x + 10$ by $5$ and simplify.

Divide each term in $5 y = 2 x + 10$ by $5$ .

$\frac{5 y}{5} = \frac{2 x}{5} + \frac{10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{2 x}{5} + \frac{10}{5}$

Divide $y$ by $1$ .

$y = \frac{2 x}{5} + \frac{10}{5}$

Simplify the right side.

Divide $10$ by $5$ .

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

Reorder terms.

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

Step 2

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

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

Step 3