Find the Slope (2,-3) , (-7,8)

$(2, - 3)$ , $(- 7, 8)$

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.

$m = \frac{8 - (- 3)}{- 7 - (2)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 3$ .

$m = \frac{8 + 3}{- 7 - (2)}$

Add $8$ and $3$ .

$m = \frac{11}{- 7 - (2)}$

Simplify the denominator.

Multiply $- 1$ by $2$ .

$m = \frac{11}{- 7 - 2}$

Subtract $2$ from $- 7$ .

$m = \frac{11}{- 9}$

Move the negative in front of the fraction.

$m = - \frac{11}{9}$

Step 5

Find the Slope (2,-3) , (-7,8)

Related Questions

Support LCMGCF.com by disabling your adblocker.