Find the Slope (-5,-10) , (-1,5)

$(- 5, - 10)$ , $(- 1, 5)$

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.

$m = \frac{5 - (- 10)}{- 1 - (- 5)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 10$ .

$m = \frac{5 + 10}{- 1 - (- 5)}$

Add $5$ and $10$ .

$m = \frac{15}{- 1 - (- 5)}$

Simplify the denominator.

Multiply $- 1$ by $- 5$ .

$m = \frac{15}{- 1 + 5}$

Add $- 1$ and $5$ .

$m = \frac{15}{4}$

Step 5

Find the Slope (-5,-10) , (-1,5)

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