Find the Slope (6,8) , (-3,-4)

$(6, 8)$ , $(- 3, - 4)$

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.

$m = \frac{- 4 - (8)}{- 3 - (6)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $8$ .

$m = \frac{- 4 - 8}{- 3 - (6)}$

Subtract $8$ from $- 4$ .

$m = \frac{- 12}{- 3 - (6)}$

Simplify the denominator.

Multiply $- 1$ by $6$ .

$m = \frac{- 12}{- 3 - 6}$

Subtract $6$ from $- 3$ .

$m = \frac{- 12}{- 9}$

Cancel the common factor of $- 12$ and $- 9$ .

Factor $- 3$ out of $- 12$ .

$m = \frac{- 3 \cdot 4}{- 9}$

Cancel the common factors.

Factor $- 3$ out of $- 9$ .

$m = \frac{- 3 \cdot 4}{- 3 \cdot 3}$

Cancel the common factor.

$m = \frac{- 3 \cdot 4}{- 3 \cdot 3}$

Rewrite the expression.

$m = \frac{4}{3}$

Step 5

Find the Slope (6,8) , (-3,-4)

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