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Pre-Algebra Examples

$6 x + 2 y = 8$

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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Subtract $6 x$ from both sides of the equation.

$2 y = 8 - 6 x$

Divide each term by $2$ and simplify.

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

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $y$ by $1$ .

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

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

Simplify $\frac{8}{2} + \frac{- 6 x}{2}$ .

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Simplify each term.

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Divide $8$ by $2$ .

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

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

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

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

Cancel the common factors.

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Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 3 x$ by $1$ .

$y = 4 - 3 x$

$y = 4 - 3 x$

$y = 4 - 3 x$

$y = 4 - 3 x$

Reorder $4$ and $- 3 x$ .

$y = - 3 x + 4$

$y = - 3 x + 4$

$y = - 3 x + 4$

$y = - 3 x + 4$

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