Write in y=mx+b Form y-12=-1/4(x-6)

$y - 12 = - \frac{1}{4} (x - 6)$

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 $- \frac{1}{4} \cdot (x - 6)$ .

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Apply the distributive property.

$y - 12 = - \frac{1}{4} x - \frac{1}{4} \cdot - 6$

Combine $x$ and $\frac{1}{4}$ .

$y - 12 = - \frac{x}{4} - \frac{1}{4} \cdot - 6$

Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{1}{4}$ into the numerator.

$y - 12 = - \frac{x}{4} + \frac{- 1}{4} \cdot - 6$

Factor $2$ out of $4$ .

$y - 12 = - \frac{x}{4} + \frac{- 1}{2 (2)} \cdot - 6$

Factor $2$ out of $- 6$ .

$y - 12 = - \frac{x}{4} + \frac{- 1}{2 \cdot 2} \cdot (2 \cdot - 3)$

Cancel the common factor.

$y - 12 = - \frac{x}{4} + \frac{- 1}{2 \cdot 2} \cdot (2 \cdot - 3)$

Rewrite the expression.

$y - 12 = - \frac{x}{4} + \frac{- 1}{2} \cdot - 3$

Combine $\frac{- 1}{2}$ and $- 3$ .

$y - 12 = - \frac{x}{4} + \frac{- - 3}{2}$

Multiply $- 1$ by $- 3$ .

$y - 12 = - \frac{x}{4} + \frac{3}{2}$

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.

$y = - \frac{x}{4} + \frac{3}{2} + 12$

To write $12$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{x}{4} + \frac{3}{2} + 12 \cdot \frac{2}{2}$

Combine $12$ and $\frac{2}{2}$ .

$y = - \frac{x}{4} + \frac{3}{2} + \frac{12 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = - \frac{x}{4} + \frac{3 + 12 \cdot 2}{2}$

Simplify the numerator.

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Multiply $12$ by $2$ .

$y = - \frac{x}{4} + \frac{3 + 24}{2}$

Add $3$ and $24$ .

$y = - \frac{x}{4} + \frac{27}{2}$

Rewrite in slope-intercept form.

$y = - \frac{1}{4} x + \frac{27}{2}$

Write in y=mx+b Form y-12=-1/4(x-6)

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