Write in y=mx+b Form y-12=-1/2(x-4)

$y - 12 = - \frac{1}{2} (x - 4)$

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

$y = m x + b$

Rewrite in slope-intercept form.

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Simplify $- \frac{1}{2} \cdot (x - 4)$ .

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Apply the distributive property.

$y - 12 = - \frac{1}{2} x - \frac{1}{2} \cdot - 4$

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

$y - 12 = - \frac{x}{2} - \frac{1}{2} \cdot - 4$

Cancel the common factor of $2$ .

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

$y - 12 = - \frac{x}{2} + \frac{- 1}{2} \cdot - 4$

Factor $2$ out of $- 4$ .

$y - 12 = - \frac{x}{2} + \frac{- 1}{2} \cdot (2 (- 2))$

Cancel the common factor.

$y - 12 = - \frac{x}{2} + \frac{- 1}{2} \cdot (2 \cdot - 2)$

Rewrite the expression.

$y - 12 = - \frac{x}{2} - 1 \cdot - 2$

Multiply $- 1$ by $- 2$ .

$y - 12 = - \frac{x}{2} + 2$

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

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Add $12$ to both sides of the equation.

$y = - \frac{x}{2} + 2 + 12$

Add $2$ and $12$ .

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

Rewrite in slope-intercept form.

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

Write in y=mx+b Form y-12=-1/2(x-4)

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