Examples

f (3) = 5

$f (3) = 5$ ,

g (2) = - 3

$g (2) = - 3$

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{- 3 - (5)}{2 - (3)}

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

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

5

$5$ .

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

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

Step 4.1.2

Subtract

5

$5$ from

- 3

$- 3$ .

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

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

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

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

Step 4.2

Simplify the denominator.

Tap for more steps...

Step 4.2.1

Multiply

- 1

$- 1$ by

3

$3$ .

m = \frac{- 8}{2 - 3}

$m = \frac{- 8}{2 - 3}$

Step 4.2.2

Subtract

3

$3$ from

2

$2$ .

m = \frac{- 8}{- 1}

$m = \frac{- 8}{- 1}$

m = \frac{- 8}{- 1}

$m = \frac{- 8}{- 1}$

Step 4.3

Divide

- 8

$- 8$ by

- 1

$- 1$ .

m = 8

$m = 8$

m = 8

$m = 8$

Step 5

Enter YOUR Problem