Pre-Algebra Examples

$6 x - y - 2 = 0$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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

$y = m x + b$

Step 1.2

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

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Step 1.2.1

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

$- y - 2 = - 6 x$

Step 1.2.2

Add $2$ to both sides of the equation.

$- y = - 6 x + 2$

Step 1.3

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

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Step 1.3.1

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

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

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Dividing two negative values results in a positive value.

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

Step 1.3.2.2

Divide $y$ by $1$ .

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

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Move the negative one from the denominator of $\frac{- 6 x}{- 1}$ .

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

Step 1.3.3.1.2

Rewrite $- 1 \cdot (- 6 x)$ as $- (- 6 x)$ .

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

Step 1.3.3.1.3

Multiply $- 6$ by $- 1$ .

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

Step 1.3.3.1.4

Divide $2$ by $- 1$ .

$y = 6 x - 2$

Step 2

Using the slope-intercept form, the slope is $6$ .

$m = 6$

Step 3