Write in y=mx+b Form y-14=-1/2(x-6)

$y - 14 = - \frac{1}{2} (x - 6)$

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 $- \frac{1}{2} (x - 6)$ .

Apply the distributive property.

$y - 14 = - \frac{1}{2} x - \frac{1}{2} \cdot - 6$

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

$y - 14 = - \frac{x}{2} - \frac{1}{2} \cdot - 6$

Cancel the common factor of $2$ .

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

$y - 14 = - \frac{x}{2} + \frac{- 1}{2} \cdot - 6$

Factor $2$ out of $- 6$ .

$y - 14 = - \frac{x}{2} + \frac{- 1}{2} \cdot (2 (- 3))$

Cancel the common factor.

$y - 14 = - \frac{x}{2} + \frac{- 1}{2} \cdot (2 \cdot - 3)$

Rewrite the expression.

$y - 14 = - \frac{x}{2} - 1 \cdot - 3$

Multiply $- 1$ by $- 3$ .

$y - 14 = - \frac{x}{2} + 3$

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

Add $14$ to both sides of the equation.

$y = - \frac{x}{2} + 3 + 14$

Add $3$ and $14$ .

$y = - \frac{x}{2} + 17$

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

Reorder terms.

$y = - (\frac{1}{2} x) + 17$

Remove parentheses.

$y = - \frac{1}{2} x + 17$