Precalculus Examples

(0, 0)

$(0, 0)$ ,

(- 6, 6)

$(- 6, 6)$

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{6 - (0)}{- 6 - (0)}

$m = \frac{6 - (0)}{- 6 - (0)}$

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

0

$0$ .

m = \frac{6 + 0}{- 6 - (0)}

$m = \frac{6 + 0}{- 6 - (0)}$

Step 4.1.2

Add

6

$6$ and

0

$0$ .

m = \frac{6}{- 6 - (0)}

$m = \frac{6}{- 6 - (0)}$

m = \frac{6}{- 6 - (0)}

$m = \frac{6}{- 6 - (0)}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply

- 1

$- 1$ by

0

$0$ .

m = \frac{6}{- 6 + 0}

$m = \frac{6}{- 6 + 0}$

Step 4.2.2

Add

- 6

$- 6$ and

0

$0$ .

m = \frac{6}{- 6}

$m = \frac{6}{- 6}$

m = \frac{6}{- 6}

$m = \frac{6}{- 6}$

Step 4.3

Divide

6

$6$ by

- 6

$- 6$ .

m = - 1

$m = - 1$

m = - 1

$m = - 1$

Step 5

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