Pre-Algebra Examples

x + 6 y = - 30

$x + 6 y = - 30$

Step 1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Subtract

x

$x$ from both sides of the equation.

6 y = - 30 - x

$6 y = - 30 - x$

Step 2.2

Divide each term in

6 y = - 30 - x

$6 y = - 30 - x$ by

6

$6$ and simplify.

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Step 2.2.1

Divide each term in

6 y = - 30 - x

$6 y = - 30 - x$ by

6

$6$ .

\frac{6 y}{6} = \frac{- 30}{6} + \frac{- x}{6}

$\frac{6 y}{6} = \frac{- 30}{6} + \frac{- x}{6}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

6

$6$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{- 30}{6} + \frac{- x}{6}$

Step 2.2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{- 30}{6} + \frac{- x}{6}$

$y = \frac{- 30}{6} + \frac{- x}{6}$

$y = \frac{- 30}{6} + \frac{- x}{6}$

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

Divide

$- 30$ by

$6$ .

$y = - 5 + \frac{- x}{6}$

Step 2.2.3.1.2

Move the negative in front of the fraction.

$y = - 5 - \frac{x}{6}$

$y = - 5 - \frac{x}{6}$

$y = - 5 - \frac{x}{6}$

$y = - 5 - \frac{x}{6}$

Step 2.3

Write in

$y = m x + b$ form.

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Step 2.3.1

Reorder

$- 5$ and

$- \frac{x}{6}$ .

$y = - \frac{x}{6} - 5$

Step 2.3.2

Reorder terms.

$y = - (\frac{1}{6} x) - 5$

Step 2.3.3

Remove parentheses.

$y = - \frac{1}{6} x - 5$

$y = - \frac{1}{6} x - 5$

$y = - \frac{1}{6} x - 5$

$x + 6 y = - 30$

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