Find the Slope (-4,7) , (-6,-4)

$(- 4, 7)$ , $(- 6, - 4)$

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.

$m = \frac{- 4 - (7)}{- 6 - (- 4)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $7$ .

$m = \frac{- 4 - 7}{- 6 - (- 4)}$

Subtract $7$ from $- 4$ .

$m = \frac{- 11}{- 6 - (- 4)}$

Simplify the denominator.

Multiply $- 1$ by $- 4$ .

$m = \frac{- 11}{- 6 + 4}$

Add $- 6$ and $4$ .

$m = \frac{- 11}{- 2}$

Dividing two negative values results in a positive value.

$m = \frac{11}{2}$

Step 5

Find the Slope (-4,7) , (-6,-4)

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