Precalculus Examples

(0, 4)

$(0, 4)$ ,

(3, 0)

$(3, 0)$

Step 1

Slope is equal to the change in

y

$y$ over the change in

x

$x$ , or rise over run.

m = \frac{change in y}{change in x}

$m = \frac{change in y}{change in x}$

Step 2

The change in

x

$x$ is equal to the difference in x-coordinates (also called run), and the change in

y

$y$ is equal to the difference in y-coordinates (also called rise).

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 3

Substitute in the values of

x

$x$ and

y

$y$ into the equation to find the slope.

m = \frac{0 - (4)}{3 - (0)}

$m = \frac{0 - (4)}{3 - (0)}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply

- 1

$- 1$ by

4

$4$ .

m = \frac{0 - 4}{3 - (0)}

$m = \frac{0 - 4}{3 - (0)}$

Step 4.1.2

Subtract

4

$4$ from

0

$0$ .

m = \frac{- 4}{3 - (0)}

$m = \frac{- 4}{3 - (0)}$

m = \frac{- 4}{3 - (0)}

$m = \frac{- 4}{3 - (0)}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply

- 1

$- 1$ by

0

$0$ .

m = \frac{- 4}{3 + 0}

$m = \frac{- 4}{3 + 0}$

Step 4.2.2

Add

3

$3$ and

0

$0$ .

m = \frac{- 4}{3}

$m = \frac{- 4}{3}$

m = \frac{- 4}{3}

$m = \frac{- 4}{3}$

Step 4.3

Move the negative in front of the fraction.

m = - \frac{4}{3}

$m = - \frac{4}{3}$

m = - \frac{4}{3}

$m = - \frac{4}{3}$

Step 5

(0, 4), (3, 0)

$(0, 4), (3, 0)$

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