Find the Slope (-10,-4) , (-1,2)

$(- 10, - 4)$ , $(- 1, 2)$

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.

$m = \frac{2 - (- 4)}{- 1 - (- 10)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 4$ .

$m = \frac{2 + 4}{- 1 - (- 10)}$

Add $2$ and $4$ .

$m = \frac{6}{- 1 - (- 10)}$

Simplify the denominator.

Multiply $- 1$ by $- 10$ .

$m = \frac{6}{- 1 + 10}$

Add $- 1$ and $10$ .

$m = \frac{6}{9}$

Cancel the common factor of $6$ and $9$ .

Factor $3$ out of $6$ .

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

Cancel the common factors.

Factor $3$ out of $9$ .

$m = \frac{3 \cdot 2}{3 \cdot 3}$

Cancel the common factor.

$m = \frac{3 \cdot 2}{3 \cdot 3}$

Rewrite the expression.

$m = \frac{2}{3}$

Step 5

Find the Slope (-10,-4) , (-1,2)

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