Write in Slope-Intercept Form 2x+8y=16

$2 x + 8 y = 16$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Subtract $2 x$ from both sides of the equation.

$8 y = 16 - 2 x$

Divide each term in $8 y = 16 - 2 x$ by $8$ and simplify.

Divide each term in $8 y = 16 - 2 x$ by $8$ .

$\frac{8 y}{8} = \frac{16}{8} + \frac{- 2 x}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{16}{8} + \frac{- 2 x}{8}$

Divide $y$ by $1$ .

$y = \frac{16}{8} + \frac{- 2 x}{8}$

Simplify the right side.

Simplify each term.

Divide $16$ by $8$ .

$y = 2 + \frac{- 2 x}{8}$

Cancel the common factor of $- 2$ and $8$ .

Factor $2$ out of $- 2 x$ .

$y = 2 + \frac{2 (- x)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = 2 + \frac{2 (- x)}{2 (4)}$

Cancel the common factor.

$y = 2 + \frac{2 (- x)}{2 \cdot 4}$

Rewrite the expression.

$y = 2 + \frac{- x}{4}$

Move the negative in front of the fraction.

$y = 2 - \frac{x}{4}$

Write in $y = m x + b$ form.

Reorder $2$ and $- \frac{x}{4}$ .

$y = - \frac{x}{4} + 2$

Reorder terms.

$y = - (\frac{1}{4} x) + 2$

Remove parentheses.

$y = - \frac{1}{4} x + 2$