Precalculus Examples

$(- 9, - 6)$ and $(- 4, 5)$

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.

$m = \frac{5 - (- 6)}{- 4 - (- 9)}$

Step 4

Simplify.

Tap for more steps...

Step 4.1

Simplify the numerator.

Tap for more steps...

Step 4.1.1

Multiply $- 1$ by $- 6$ .

$m = \frac{5 + 6}{- 4 - (- 9)}$

Step 4.1.2

Add $5$ and $6$ .

$m = \frac{11}{- 4 - (- 9)}$

Step 4.2

Simplify the denominator.

Tap for more steps...

Step 4.2.1

Multiply $- 1$ by $- 9$ .

$m = \frac{11}{- 4 + 9}$

Step 4.2.2

Add $- 4$ and $9$ .

$m = \frac{11}{5}$

Step 5