Find the Slope (6,12) , (-6,-2)

$(6, 12)$ , $(- 6, - 2)$

Step 1

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x}$

Step 2

The change in $x$ is equal to the difference in x-coordinates (also called run), and the change in $y$ is equal to the difference in y-coordinates (also called rise).

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 3

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{- 2 - (12)}{- 6 - (6)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $12$ .

$m = \frac{- 2 - 12}{- 6 - (6)}$

Subtract $12$ from $- 2$ .

$m = \frac{- 14}{- 6 - (6)}$

Simplify the denominator.

Multiply $- 1$ by $6$ .

$m = \frac{- 14}{- 6 - 6}$

Subtract $6$ from $- 6$ .

$m = \frac{- 14}{- 12}$

Cancel the common factor of $- 14$ and $- 12$ .

Factor $- 2$ out of $- 14$ .

$m = \frac{- 2 \cdot 7}{- 12}$

Cancel the common factors.

Factor $- 2$ out of $- 12$ .

$m = \frac{- 2 \cdot 7}{- 2 \cdot 6}$

Cancel the common factor.

$m = \frac{- 2 \cdot 7}{- 2 \cdot 6}$

Rewrite the expression.

$m = \frac{7}{6}$

Step 5

Find the Slope (6,12) , (-6,-2)

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