Examples

f (3) = 7

$f (3) = 7$ ,

g (4) = 2

$g (4) = 2$

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{2 - (7)}{4 - (3)}

$m = \frac{2 - (7)}{4 - (3)}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply

- 1

$- 1$ by

7

$7$ .

m = \frac{2 - 7}{4 - (3)}

$m = \frac{2 - 7}{4 - (3)}$

Step 4.1.2

Subtract

7

$7$ from

2

$2$ .

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

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

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

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

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply

- 1

$- 1$ by

3

$3$ .

m = \frac{- 5}{4 - 3}

$m = \frac{- 5}{4 - 3}$

Step 4.2.2

Subtract

3

$3$ from

4

$4$ .

m = \frac{- 5}{1}

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

m = \frac{- 5}{1}

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

Step 4.3

Divide

- 5

$- 5$ by

1

$1$ .

m = - 5

$m = - 5$

m = - 5

$m = - 5$

Step 5

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