Write in Slope-Intercept Form y+4=-1/2(x-2)

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

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.

Simplify $- \frac{1}{2} (x - 2)$ .

Apply the distributive property.

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

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

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

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $- 1$ by $- 1$ .

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

Move all terms not containing $y$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

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

Subtract $4$ from $1$ .

$y = - \frac{x}{2} - 3$

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

Reorder terms.

$y = - (\frac{1}{2} x) - 3$

Remove parentheses.

$y = - \frac{1}{2} x - 3$