Precalculus Examples

$(- 3, 2)$ ,

$(0, 0)$

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.

$m = \frac{0 - (2)}{0 - (- 3)}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply

$- 1$ by

$2$ .

$m = \frac{0 - 2}{0 - (- 3)}$

Step 4.1.2

Subtract

$2$ from

$0$ .

$m = \frac{- 2}{0 - (- 3)}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply

$- 1$ by

$- 3$ .

$m = \frac{- 2}{0 + 3}$

Step 4.2.2

Add

$0$ and

$3$ .

$m = \frac{- 2}{3}$

Step 4.3

Move the negative in front of the fraction.

$m = - \frac{2}{3}$

Step 5

$(- 3, 2) (0, 0)$

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