Find the Slope (-6,5) , (-7,-2)

$(- 6, 5)$ , $(- 7, - 2)$

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.

$m = \frac{- 2 - (5)}{- 7 - (- 6)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $5$ .

$m = \frac{- 2 - 5}{- 7 - (- 6)}$

Subtract $5$ from $- 2$ .

$m = \frac{- 7}{- 7 - (- 6)}$

Simplify the denominator.

Multiply $- 1$ by $- 6$ .

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

Add $- 7$ and $6$ .

$m = \frac{- 7}{- 1}$

Divide $- 7$ by $- 1$ .

$m = 7$

Step 5

Find the Slope (-6,5) , (-7,-2)

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