Precalculus Examples

$(6, - 8)$ and $(6, 8)$

Step 1

To find the average rate of change, find the slope.

Step 2

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 3

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 4

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{8 - (- 8)}{6 - (6)}$

Step 5

Simplify.

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Step 5.1

Multiply $- 1$ by $6$ .

$\frac{8 - (- 8)}{6 - 6}$

Step 5.2

Subtract $6$ from $6$ .

$\frac{8 - (- 8)}{0}$

Step 5.3

The expression contains a division by $0$ . The expression is undefined.

Undefined