Pre-Algebra Examples

$y - 4 = (- \frac{1}{3}) x - (- 4)$

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.

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Step 2.1

Simplify the right side.

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Combine $x$ and $\frac{1}{3}$ .

$y - 4 = - \frac{x}{3} - (- 4)$

Step 2.1.1.2

Multiply $- 1$ by $- 4$ .

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

Step 2.2

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

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Step 2.2.1

Add $4$ to both sides of the equation.

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

Step 2.2.2

Add $4$ and $4$ .

$y = - \frac{x}{3} + 8$

Step 2.3

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

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Step 2.3.1

Reorder terms.

$y = - (\frac{1}{3} x) + 8$

Step 2.3.2

Remove parentheses.

$y = - \frac{1}{3} x + 8$