Algebra Examples

$2 x - y = 6$

Rewrite in slope-intercept form.

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

$y = m x + b$

Subtract $2 x$ from both sides of the equation.

$- y = 6 - 2 x$

Divide each term in $- y = 6 - 2 x$ by $- 1$ and simplify.

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Divide each term in $- y = 6 - 2 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{6}{- 1} + \frac{- 2 x}{- 1}$

Simplify the left side.

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Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{6}{- 1} + \frac{- 2 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{6}{- 1} + \frac{- 2 x}{- 1}$

Simplify the right side.

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Simplify each term.

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Divide $6$ by $- 1$ .

$y = - 6 + \frac{- 2 x}{- 1}$

Move the negative one from the denominator of $\frac{- 2 x}{- 1}$ .

$y = - 6 - 1 \cdot (- 2 x)$

Rewrite $- 1 \cdot (- 2 x)$ as $- (- 2 x)$ .

$y = - 6 - (- 2 x)$

Multiply $- 2$ by $- 1$ .

$y = - 6 + 2 x$

Reorder $- 6$ and $2 x$ .

$y = 2 x - 6$

Using the slope-intercept form, the slope is $2$ .

$m = 2$

All lines that are parallel to $y = 2 x - 6$ have the same slope of $2$ .

$m_{parallel} = 2$