Find the Slope -4x+10y=0

$- 4 x + 10 y = 0$

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.

$y = m x + b$

Add $4 x$ to both sides of the equation.

$10 y = 4 x$

Divide each term in $10 y = 4 x$ by $10$ and simplify.

Divide each term in $10 y = 4 x$ by $10$ .

$\frac{10 y}{10} = \frac{4 x}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 y}{10} = \frac{4 x}{10}$

Divide $y$ by $1$ .

$y = \frac{4 x}{10}$

Simplify the right side.

Cancel the common factor of $4$ and $10$ .

Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$y = \frac{2 (2 x)}{2 (5)}$

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot 5}$

Rewrite the expression.

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

Reorder terms.

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

Step 2

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

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

Step 3