Precalculus Examples

$(- 5, 1)$ and $(- 5, 7)$

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.

$m = \frac{7 - (1)}{- 5 - (- 5)}$

Step 4

Simplify.

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Step 4.1

Multiply $- 1$ by $- 5$ .

$\frac{7 - (1)}{- 5 + 5}$

Step 4.2

Add $- 5$ and $5$ .

$\frac{7 - (1)}{0}$

Step 4.3

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

Undefined