Find the Slope (19,-16) , (-7,-15)

$(19, - 16)$ , $(- 7, - 15)$

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.

$m = \frac{- 15 - (- 16)}{- 7 - (19)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 16$ .

$m = \frac{- 15 + 16}{- 7 - (19)}$

Add $- 15$ and $16$ .

$m = \frac{1}{- 7 - (19)}$

Simplify the denominator.

Multiply $- 1$ by $19$ .

$m = \frac{1}{- 7 - 19}$

Subtract $19$ from $- 7$ .

$m = \frac{1}{- 26}$

Move the negative in front of the fraction.

$m = - \frac{1}{26}$

Step 5

Find the Slope (19,-16) , (-7,-15)

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