Find the Slope (2,4) , (3,-2)

$(2, 4)$ , $(3, - 2)$

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x}$

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).

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{- 2 - (4)}{3 - (2)}$

Simplify.

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Simplify the numerator.

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Multiply $- 1$ by $4$ .

$m = \frac{- 2 - 4}{3 - (2)}$

Subtract $4$ from $- 2$ .

$m = \frac{- 6}{3 - (2)}$

Simplify the denominator.

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Multiply $- 1$ by $2$ .

$m = \frac{- 6}{3 - 2}$

Subtract $2$ from $3$ .

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

Divide $- 6$ by $1$ .

$m = - 6$

Find the Slope (2,4) , (3,-2)

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