Examples

(- 5, 9)

$(- 5, 9)$ ,

(3, 0)

$(3, 0)$

Step 1

Slope is equal to the change in

y

$y$ over the change in

x

$x$ , or rise over run.

m = \frac{change in y}{change in x}

$m = \frac{change in y}{change in x}$

Step 2

The change in

x

$x$ is equal to the difference in x-coordinates (also called run), and the change in

y

$y$ is equal to the difference in y-coordinates (also called rise).

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 3

Substitute in the values of

x

$x$ and

y

$y$ into the equation to find the slope.

m = \frac{0 - (9)}{3 - (- 5)}

$m = \frac{0 - (9)}{3 - (- 5)}$

Step 4

Simplify.

Tap for more steps...

Step 4.1

Simplify the numerator.

Tap for more steps...

Step 4.1.1

Multiply

- 1

$- 1$ by

9

$9$ .

m = \frac{0 - 9}{3 - (- 5)}

$m = \frac{0 - 9}{3 - (- 5)}$

Step 4.1.2

Subtract

9

$9$ from

0

$0$ .

m = \frac{- 9}{3 - (- 5)}

$m = \frac{- 9}{3 - (- 5)}$

m = \frac{- 9}{3 - (- 5)}

$m = \frac{- 9}{3 - (- 5)}$

Step 4.2

Simplify the denominator.

Tap for more steps...

Step 4.2.1

Multiply

- 1

$- 1$ by

- 5

$- 5$ .

m = \frac{- 9}{3 + 5}

$m = \frac{- 9}{3 + 5}$

Step 4.2.2

Add

3

$3$ and

5

$5$ .

m = \frac{- 9}{8}

$m = \frac{- 9}{8}$

m = \frac{- 9}{8}

$m = \frac{- 9}{8}$

Step 4.3

Move the negative in front of the fraction.

m = - \frac{9}{8}

$m = - \frac{9}{8}$

m = - \frac{9}{8}

$m = - \frac{9}{8}$

Step 5

Enter YOUR Problem