Find the Slope (-4,3) , (5,-3)

$(- 4, 3)$ , $(5, - 3)$

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.

$m = \frac{- 3 - (3)}{5 - (- 4)}$

Simplify.

Simplify the numerator.

Multiply $- 1$ by $3$ .

$m = \frac{- 3 - 3}{5 - (- 4)}$

Subtract $3$ from $- 3$ .

$m = \frac{- 6}{5 - (- 4)}$

Simplify the denominator.

Multiply $- 1$ by $- 4$ .

$m = \frac{- 6}{5 + 4}$

Add $5$ and $4$ .

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

Reduce the expression by cancelling the common factors.

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.

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

Move the negative in front of the fraction.

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

Find the Slope (-4,3) , (5,-3)

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