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Examples

6 x - 3 y = 12

$6 x - 3 y = 12$

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

6 x

$6 x$ from both sides of the equation.

- 3 y = 12 - 6 x

$- 3 y = 12 - 6 x$

Step 2.2

Divide each term in

- 3 y = 12 - 6 x

$- 3 y = 12 - 6 x$ by

- 3

$- 3$ and simplify.

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Step 2.2.1

Divide each term in

- 3 y = 12 - 6 x

$- 3 y = 12 - 6 x$ by

- 3

$- 3$ .

\frac{- 3 y}{- 3} = \frac{12}{- 3} + \frac{- 6 x}{- 3}

$\frac{- 3 y}{- 3} = \frac{12}{- 3} + \frac{- 6 x}{- 3}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

- 3

$- 3$ .

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Step 2.2.2.1.1

Cancel the common factor.

\frac{- 3 y}{- 3} = \frac{12}{- 3} + \frac{- 6 x}{- 3}

$\frac{- 3 y}{- 3} = \frac{12}{- 3} + \frac{- 6 x}{- 3}$

Step 2.2.2.1.2

Divide

y

$y$ by

1

$1$ .

y = \frac{12}{- 3} + \frac{- 6 x}{- 3}

$y = \frac{12}{- 3} + \frac{- 6 x}{- 3}$

y = \frac{12}{- 3} + \frac{- 6 x}{- 3}

$y = \frac{12}{- 3} + \frac{- 6 x}{- 3}$

y = \frac{12}{- 3} + \frac{- 6 x}{- 3}

$y = \frac{12}{- 3} + \frac{- 6 x}{- 3}$

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

12

$12$ by

- 3

$- 3$ .

y = - 4 + \frac{- 6 x}{- 3}

$y = - 4 + \frac{- 6 x}{- 3}$

Step 2.2.3.1.2

Cancel the common factor of

- 6

$- 6$ and

- 3

$- 3$ .

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Step 2.2.3.1.2.1

Factor

- 3

$- 3$ out of

- 6 x

$- 6 x$ .

y = - 4 + \frac{- 3 (2 x)}{- 3}

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

Step 2.2.3.1.2.2

Cancel the common factors.

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Step 2.2.3.1.2.2.1

Factor

- 3

$- 3$ out of

- 3

$- 3$ .

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

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

Step 2.2.3.1.2.2.2

Cancel the common factor.

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

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

Step 2.2.3.1.2.2.3

Rewrite the expression.

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

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

Step 2.2.3.1.2.2.4

Divide

2 x

$2 x$ by

1

$1$ .

y = - 4 + 2 x

$y = - 4 + 2 x$

y = - 4 + 2 x

$y = - 4 + 2 x$

y = - 4 + 2 x

$y = - 4 + 2 x$

y = - 4 + 2 x

$y = - 4 + 2 x$

y = - 4 + 2 x

$y = - 4 + 2 x$

y = - 4 + 2 x

$y = - 4 + 2 x$

Step 2.3

Reorder

- 4

$- 4$ and

2 x

$2 x$ .

y = 2 x - 4

$y = 2 x - 4$

y = 2 x - 4

$y = 2 x - 4$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$