Pre-Algebra Examples

$x - y + 4 = 8$

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Rewrite in slope-intercept form.

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

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

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Subtract $x$ from both sides of the equation.

$- y + 4 = 8 - x$

Subtract $4$ from both sides of the equation.

$- y = 8 - x - 4$

Subtract $4$ from $8$ .

$- y = - x + 4$

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

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

$(- y) \cdot - 1 = (- x) \cdot - 1 + 4 \cdot - 1$

Multiply $(- y) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 y = (- x) \cdot - 1 + 4 \cdot - 1$

Multiply $y$ by $1$ .

$y = (- x) \cdot - 1 + 4 \cdot - 1$

Simplify each term.

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Multiply $(- x) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$y = 1 x + 4 \cdot - 1$

Multiply $x$ by $1$ .

$y = x + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$y = x - 4$

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