Find the Slope (-17,5) , (8,-9)

$(- 17, 5)$ , $(8, - 9)$

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.

$m = \frac{- 9 - (5)}{8 - (- 17)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $5$ .

$m = \frac{- 9 - 5}{8 - (- 17)}$

Subtract $5$ from $- 9$ .

$m = \frac{- 14}{8 - (- 17)}$

Simplify the denominator.

Multiply $- 1$ by $- 17$ .

$m = \frac{- 14}{8 + 17}$

Add $8$ and $17$ .

$m = \frac{- 14}{25}$

Move the negative in front of the fraction.

$m = - \frac{14}{25}$

Step 5

Find the Slope (-17,5) , (8,-9)

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