Find the Slope 4y-20x=-4

$4 y - 20 x = - 4$

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.

$y = m x + b$

Add $20 x$ to both sides of the equation.

$4 y = - 4 + 20 x$

Divide each term in $4 y = - 4 + 20 x$ by $4$ and simplify.

Divide each term in $4 y = - 4 + 20 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 4}{4} + \frac{20 x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 4}{4} + \frac{20 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 4}{4} + \frac{20 x}{4}$

Simplify the right side.

Simplify each term.

Divide $- 4$ by $4$ .

$y = - 1 + \frac{20 x}{4}$

Cancel the common factor of $20$ and $4$ .

Factor $4$ out of $20 x$ .

$y = - 1 + \frac{4 (5 x)}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$y = - 1 + \frac{4 (5 x)}{4 (1)}$

Cancel the common factor.

$y = - 1 + \frac{4 (5 x)}{4 \cdot 1}$

Rewrite the expression.

$y = - 1 + \frac{5 x}{1}$

Divide $5 x$ by $1$ .

$y = - 1 + 5 x$

Reorder $- 1$ and $5 x$ .

$y = 5 x - 1$

Step 2

Using the slope-intercept form, the slope is $5$ .

$m = 5$

Step 3