Write in y=mx+b Form -1/2y=1/2x+5

$- \frac{1}{2} y = \frac{1}{2} x + 5$

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 left side.

Combine $y$ and $\frac{1}{2}$ .

$- \frac{y}{2} = \frac{1}{2} x + 5$

Simplify the right side.

Combine $\frac{1}{2}$ and $x$ .

$- \frac{y}{2} = \frac{x}{2} + 5$

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{y}{2}) = - 2 (\frac{x}{2} + 5)$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{y}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{y}{2}$ into the numerator.

$- 2 \frac{- y}{2} = - 2 (\frac{x}{2} + 5)$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- y}{2} = - 2 (\frac{x}{2} + 5)$

Cancel the common factor.

$2 \cdot - 1 \frac{- y}{2} = - 2 (\frac{x}{2} + 5)$

Rewrite the expression.

$- - y = - 2 (\frac{x}{2} + 5)$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - 2 (\frac{x}{2} + 5)$

Multiply $y$ by $1$ .

$y = - 2 (\frac{x}{2} + 5)$

Simplify the right side.

Simplify $- 2 (\frac{x}{2} + 5)$ .

Apply the distributive property.

$y = - 2 \frac{x}{2} - 2 \cdot 5$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$y = 2 (- 1) \frac{x}{2} - 2 \cdot 5$

Cancel the common factor.

$y = 2 \cdot - 1 \frac{x}{2} - 2 \cdot 5$

Rewrite the expression.

$y = - x - 2 \cdot 5$

Multiply $- 2$ by $5$ .

$y = - x - 10$