Find the Slope (-8,8) , (-5,2)

$(- 8, 8)$ , $(- 5, 2)$

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.

$m = \frac{2 - (8)}{- 5 - (- 8)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $8$ .

$m = \frac{2 - 8}{- 5 - (- 8)}$

Subtract $8$ from $2$ .

$m = \frac{- 6}{- 5 - (- 8)}$

Simplify the denominator.

Multiply $- 1$ by $- 8$ .

$m = \frac{- 6}{- 5 + 8}$

Add $- 5$ and $8$ .

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

Divide $- 6$ by $3$ .

$m = - 2$

Step 5

Find the Slope (-8,8) , (-5,2)

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