Precalculus Examples

$6 x + 2 y = 8$

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 $6 x$ from both sides of the equation.

$2 y = 8 - 6 x$

Step 2.2

Divide each term in $2 y = 8 - 6 x$ by $2$ and simplify.

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Step 2.2.1

Divide each term in $2 y = 8 - 6 x$ by $2$ .

$\frac{2 y}{2} = \frac{8}{2} + \frac{- 6 x}{2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{8}{2} + \frac{- 6 x}{2}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{8}{2} + \frac{- 6 x}{2}$

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 $8$ by $2$ .

$y = 4 + \frac{- 6 x}{2}$

Step 2.2.3.1.2

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

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Step 2.2.3.1.2.1

Factor $2$ out of $- 6 x$ .

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

Step 2.2.3.1.2.2

Cancel the common factors.

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Step 2.2.3.1.2.2.1

Factor $2$ out of $2$ .

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

Step 2.2.3.1.2.2.2

Cancel the common factor.

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

Step 2.2.3.1.2.2.3

Rewrite the expression.

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

Step 2.2.3.1.2.2.4

Divide $- 3 x$ by $1$ .

$y = 4 - 3 x$

Step 2.3

Reorder $4$ and $- 3 x$ .

$y = - 3 x + 4$

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