Precalculus Examples

$x - y + 4 = 8$

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

Move all terms not containing $y$ to the right side of the equation.

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Step 2.1.1

Subtract $x$ from both sides of the equation.

$- y + 4 = 8 - x$

Step 2.1.2

Subtract $4$ from both sides of the equation.

$- y = 8 - x - 4$

Step 2.1.3

Subtract $4$ from $8$ .

$- y = - x + 4$

Step 2.2

Divide each term in $- y = - x + 4$ by $- 1$ and simplify.

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Step 2.2.1

Divide each term in $- y = - x + 4$ by $- 1$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Dividing two negative values results in a positive value.

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

Step 2.2.2.2

Divide $y$ by $1$ .

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

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

Dividing two negative values results in a positive value.

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

Step 2.2.3.1.2

Divide $x$ by $1$ .

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

Step 2.2.3.1.3

Divide $4$ by $- 1$ .

$y = x - 4$

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