Pre-Algebra Examples

$y - 6 = 3 (x - \frac{1}{3})$

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 $3 (x - \frac{1}{3})$ .

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Step 2.1.1.1

Apply the distributive property.

$y - 6 = 3 x + 3 (- \frac{1}{3})$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$y - 6 = 3 x + 3 (\frac{- 1}{3})$

Step 2.1.1.2.2

Cancel the common factor.

$y - 6 = 3 x + 3 (\frac{- 1}{3})$

Step 2.1.1.2.3

Rewrite the expression.

$y - 6 = 3 x - 1$

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 $6$ to both sides of the equation.

$y = 3 x - 1 + 6$

Step 2.2.2

Add $- 1$ and $6$ .

$y = 3 x + 5$