Pre-Algebra Examples

$x + 6 y = - 2$

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

Subtract $x$ from both sides of the equation.

$6 y = - 2 - x$

Step 2.2

Divide each term in $6 y = - 2 - x$ by $6$ and simplify.

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Step 2.2.1

Divide each term in $6 y = - 2 - x$ by $6$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $6$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Cancel the common factor of $- 2$ and $6$ .

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Step 2.2.3.1.1.1

Factor $2$ out of $- 2$ .

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

Step 2.2.3.1.1.2

Cancel the common factors.

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Step 2.2.3.1.1.2.1

Factor $2$ out of $6$ .

$y = \frac{2 \cdot - 1}{2 \cdot 3} + \frac{- x}{6}$

Step 2.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 \cdot - 1}{2 \cdot 3} + \frac{- x}{6}$

Step 2.2.3.1.1.2.3

Rewrite the expression.

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

Step 2.2.3.1.2

Move the negative in front of the fraction.

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

Step 2.2.3.1.3

Move the negative in front of the fraction.

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

Step 2.3

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

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Step 2.3.1

Reorder $- \frac{1}{3}$ and $- \frac{x}{6}$ .

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

Step 2.3.2

Reorder terms.

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

Step 2.3.3

Remove parentheses.

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