Find the Slope (-2,5) , (3,4)

$(- 2, 5)$ , $(3, 4)$

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.

$m = \frac{4 - (5)}{3 - (- 2)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $5$ .

$m = \frac{4 - 5}{3 - (- 2)}$

Subtract $5$ from $4$ .

$m = \frac{- 1}{3 - (- 2)}$

Simplify the denominator.

Multiply $- 1$ by $- 2$ .

$m = \frac{- 1}{3 + 2}$

Add $3$ and $2$ .

$m = \frac{- 1}{5}$

Move the negative in front of the fraction.

$m = - \frac{1}{5}$

Step 5

Find the Slope (-2,5) , (3,4)

Related Questions

Support LCMGCF.com by disabling your adblocker.