Find the Slope (6,-10) , (-15,15)

$(6, - 10)$ , $(- 15, 15)$

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.

$m = \frac{15 - (- 10)}{- 15 - (6)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 10$ .

$m = \frac{15 + 10}{- 15 - (6)}$

Add $15$ and $10$ .

$m = \frac{25}{- 15 - (6)}$

Simplify the denominator.

Multiply $- 1$ by $6$ .

$m = \frac{25}{- 15 - 6}$

Subtract $6$ from $- 15$ .

$m = \frac{25}{- 21}$

Move the negative in front of the fraction.

$m = - \frac{25}{21}$

Step 5

Find the Slope (6,-10) , (-15,15)

Related Questions

Support LCMGCF.com by disabling your adblocker.