Pre-Algebra Examples

$17 x - 6 y = 9$

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 $17 x$ from both sides of the equation.

$- 6 y = - 17 x + 9$

Divide each term by $- 6$ and simplify.

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Divide each term in $- 6 y = - 17 x + 9$ by $- 6$ .

$- \frac{6 y}{- 6} = - \frac{17 x}{- 6} + \frac{9}{- 6}$

Simplify the left side of the $e q u a t i o n$ by cancelling the common factors.

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Reduce the expression by cancelling the common factors.

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Factor $6$ out of $6 y$ .

$- \frac{6 (y)}{- 6} = - \frac{17 x}{- 6} + \frac{9}{- 6}$

Move the negative one from the denominator of $\frac{y}{- 1}$ .

$- (- 1 \cdot y) = - \frac{17 x}{- 6} + \frac{9}{- 6}$

Simplify the expression.

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Multiply $- 1$ by $y$ .

$- (- 1 y) = - \frac{17 x}{- 6} + \frac{9}{- 6}$

Rewrite $- 1 y$ as $- y$ .

$y = - \frac{17 x}{- 6} + \frac{9}{- 6}$

Simplify each term.

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Move the negative in front of the fraction.

$y = \frac{17 x}{6} + \frac{9}{- 6}$

Simplify $- - \frac{17 x}{6}$ .

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Multiply $- 1$ by $- 1$ .

$y = 1 (\frac{17 x}{6}) + \frac{9}{- 6}$

Multiply $\frac{17 x}{6}$ by $1$ .

$y = \frac{17 x}{6} + \frac{9}{- 6}$

Reduce the expression by cancelling the common factors.

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Factor $3$ out of $9$ .

$y = \frac{17 x}{6} + \frac{3 (3)}{- 6}$

Cancel the common factors.

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Factor $3$ out of $- 6$ .

$y = \frac{17 x}{6} + \frac{3 \cdot 3}{3 \cdot - 2}$

Cancel the common factor.

$y = \frac{17 x}{6} + \frac{3 \cdot 3}{3 \cdot - 2}$

Rewrite the expression.

$y = \frac{17 x}{6} + \frac{3}{- 2}$

Move the negative in front of the fraction.

$y = \frac{17 x}{6} - \frac{3}{2}$

Rewrite in slope-intercept form.

$y = \frac{17}{6} x - \frac{3}{2}$

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