Precalculus Examples

$(- 6, 4)$ and $(- 6, 12)$

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.

$m = \frac{12 - (4)}{- 6 - (- 6)}$

Step 4

Simplify.

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Step 4.1

Multiply $- 1$ by $- 6$ .

$\frac{12 - (4)}{- 6 + 6}$

Step 4.2

Add $- 6$ and $6$ .

$\frac{12 - (4)}{0}$

Step 4.3

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

Undefined