Find the Slope -16x+20y=0

$- 16 x + 20 y = 0$

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 $16 x$ to both sides of the equation.

$20 y = 16 x$

Divide each term in $20 y = 16 x$ by $20$ and simplify.

Divide each term in $20 y = 16 x$ by $20$ .

$\frac{20 y}{20} = \frac{16 x}{20}$

Simplify the left side.

Cancel the common factor of $20$ .

Cancel the common factor.

$\frac{20 y}{20} = \frac{16 x}{20}$

Divide $y$ by $1$ .

$y = \frac{16 x}{20}$

Simplify the right side.

Cancel the common factor of $16$ and $20$ .

Factor $4$ out of $16 x$ .

$y = \frac{4 (4 x)}{20}$

Cancel the common factors.

Factor $4$ out of $20$ .

$y = \frac{4 (4 x)}{4 (5)}$

Cancel the common factor.

$y = \frac{4 (4 x)}{4 \cdot 5}$

Rewrite the expression.

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

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{4}{5}$ .

$m = \frac{4}{5}$

Step 3