Finite Math Examples

$(- 2, - 7)$ , $(- 9, - 8)$

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.

$m = \frac{- 8 - (- 7)}{- 9 - (- 2)}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply $- 1$ by $- 7$ .

$m = \frac{- 8 + 7}{- 9 - (- 2)}$

Step 4.1.2

Add $- 8$ and $7$ .

$m = \frac{- 1}{- 9 - (- 2)}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply $- 1$ by $- 2$ .

$m = \frac{- 1}{- 9 + 2}$

Step 4.2.2

Add $- 9$ and $2$ .

$m = \frac{- 1}{- 7}$

Step 4.3

Dividing two negative values results in a positive value.

$m = \frac{1}{7}$

Step 5