Write in y=mx+b Form 2y=-1x-8

$2 y = - 1 x - 8$

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.

Simplify the right side.

Rewrite $- 1 x$ as $- x$ .

$2 y = - x - 8$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

Divide $- 8$ by $2$ .

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

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

Reorder terms.

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

Remove parentheses.

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