Find the Slope and y-intercept 20x+4y=16

$20 x + 4 y = 16$

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.

$y = m x + b$

Subtract $20 x$ from both sides of the equation.

$4 y = 16 - 20 x$

Divide each term in $4 y = 16 - 20 x$ by $4$ and simplify.

Divide each term in $4 y = 16 - 20 x$ by $4$ .

$\frac{4 y}{4} = \frac{16}{4} + \frac{- 20 x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{16}{4} + \frac{- 20 x}{4}$

Divide $y$ by $1$ .

$y = \frac{16}{4} + \frac{- 20 x}{4}$

Simplify the right side.

Simplify each term.

Divide $16$ by $4$ .

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

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

Factor $4$ out of $- 20 x$ .

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

Cancel the common factors.

Factor $4$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 5 x$ by $1$ .

$y = 4 - 5 x$

Reorder $4$ and $- 5 x$ .

$y = - 5 x + 4$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 5$

$b = 4$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 5$

y-intercept: $(0, 4)$

Slope: $- 5$

y-intercept: $(0, 4)$

Step 3