Find the Slope (-1,8) , (3,-4)

$(- 1, 8)$ , $(3, - 4)$

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.

$m = \frac{- 4 - (8)}{3 - (- 1)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $8$ .

$m = \frac{- 4 - 8}{3 - (- 1)}$

Subtract $8$ from $- 4$ .

$m = \frac{- 12}{3 - (- 1)}$

Simplify the denominator.

Multiply $- 1$ by $- 1$ .

$m = \frac{- 12}{3 + 1}$

Add $3$ and $1$ .

$m = \frac{- 12}{4}$

Divide $- 12$ by $4$ .

$m = - 3$

Step 5

Find the Slope (-1,8) , (3,-4)

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