Finite Math Examples

$(- 2, 0)$ , $(0, - 8)$

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.

$m = \frac{- 8 - (0)}{0 - (- 2)}$

Step 4

Simplify.

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Step 4.1

Reduce the expression by cancelling the common factors.

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Step 4.1.1

Cancel the common factor of $- 8 - (0)$ and $0 - (- 2)$ .

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Step 4.1.1.1

Rewrite $- 8$ as $- 1 (8)$ .

$m = \frac{- 1 \cdot 8 - (0)}{0 - (- 2)}$

Step 4.1.1.2

Factor $- 1$ out of $- 1 (8) - (0)$ .

$m = \frac{- 1 (8 + 0)}{0 - (- 2)}$

Step 4.1.1.3

Reorder terms.

$m = \frac{- 1 (8 + 0)}{0 - 2 \cdot - 1}$

Step 4.1.1.4

Factor $2$ out of $- 1 (8 + 0)$ .

$m = \frac{2 (- 1 (4 + 0))}{0 - 2 \cdot - 1}$

Step 4.1.1.5

Cancel the common factors.

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Step 4.1.1.5.1

Factor $2$ out of $0$ .

$m = \frac{2 (- 1 (4 + 0))}{2 (0) - 2 \cdot - 1}$

Step 4.1.1.5.2

Factor $2$ out of $- 2 \cdot - 1$ .

$m = \frac{2 (- 1 (4 + 0))}{2 (0) + 2 (1)}$

Step 4.1.1.5.3

Factor $2$ out of $2 (0) + 2 (- - 1)$ .

$m = \frac{2 (- 1 (4 + 0))}{2 (0 + 1)}$

Step 4.1.1.5.4

Cancel the common factor.

$m = \frac{2 (- 1 (4 + 0))}{2 (0 + 1)}$

Step 4.1.1.5.5

Rewrite the expression.

$m = \frac{- 1 (4 + 0)}{0 + 1}$

Step 4.1.2

Add $4$ and $0$ .

$m = \frac{- 1 \cdot 4}{0 + 1}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply $- 1$ by $- 1$ .

$m = \frac{- 1 \cdot 4}{0 + 1}$

Step 4.2.2

Add $0$ and $1$ .

$m = \frac{- 1 \cdot 4}{1}$

Step 4.3

Simplify the expression.

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Step 4.3.1

Multiply $- 1$ by $4$ .

$m = \frac{- 4}{1}$

Step 4.3.2

Divide $- 4$ by $1$ .

$m = - 4$

Step 5