Pre-Algebra Examples

$3 x + 4 y = - 5$

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 $3 x$ from both sides of the equation.

$4 y = - 5 - 3 x$

Divide each term by $4$ and simplify.

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Divide each term in $4 y = - 5 - 3 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 5}{4} + \frac{- 3 x}{4}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

$\frac{4 y}{4} = \frac{- 5}{4} + \frac{- 3 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 5}{4} + \frac{- 3 x}{4}$

Simplify each term.

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Move the negative in front of the fraction.

$y = - \frac{5}{4} + \frac{- 3 x}{4}$

Move the negative in front of the fraction.

$y = - \frac{5}{4} - \frac{3 x}{4}$

Reorder $- \frac{5}{4}$ and $- \frac{3 x}{4}$ .

$y = - \frac{3 x}{4} - \frac{5}{4}$

Rewrite in slope-intercept form.

$y = - \frac{3}{4} x - \frac{5}{4}$

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