Find the Slope (5,-1) , (4,-5)

$(5, - 1)$ , $(4, - 5)$

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.

$m = \frac{- 5 - (- 1)}{4 - (5)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 1$ .

$m = \frac{- 5 + 1}{4 - (5)}$

Add $- 5$ and $1$ .

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

Simplify the denominator.

Multiply $- 1$ by $5$ .

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

Subtract $5$ from $4$ .

$m = \frac{- 4}{- 1}$

Divide $- 4$ by $- 1$ .

$m = 4$

Step 5

Find the Slope (5,-1) , (4,-5)

Related Questions

Support LCMGCF.com by disabling your adblocker.