Find the Slope (-5,-2) , (3,-9)

$(- 5, - 2)$ , $(3, - 9)$

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.

$m = \frac{- 9 - (- 2)}{3 - (- 5)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 2$ .

$m = \frac{- 9 + 2}{3 - (- 5)}$

Add $- 9$ and $2$ .

$m = \frac{- 7}{3 - (- 5)}$

Simplify the denominator.

Multiply $- 1$ by $- 5$ .

$m = \frac{- 7}{3 + 5}$

Add $3$ and $5$ .

$m = \frac{- 7}{8}$

Move the negative in front of the fraction.

$m = - \frac{7}{8}$

Step 5

Find the Slope (-5,-2) , (3,-9)

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