Finite Math Examples

$(332, 0)$ , $(360, 40)$

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.

$m = \frac{40 - (0)}{360 - (332)}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply $- 1$ by $0$ .

$m = \frac{40 + 0}{360 - (332)}$

Step 4.1.2

Add $40$ and $0$ .

$m = \frac{40}{360 - (332)}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply $- 1$ by $332$ .

$m = \frac{40}{360 - 332}$

Step 4.2.2

Subtract $332$ from $360$ .

$m = \frac{40}{28}$

Step 4.3

Cancel the common factor of $40$ and $28$ .

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Step 4.3.1

Factor $4$ out of $40$ .

$m = \frac{4 (10)}{28}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $4$ out of $28$ .

$m = \frac{4 \cdot 10}{4 \cdot 7}$

Step 4.3.2.2

Cancel the common factor.

$m = \frac{4 \cdot 10}{4 \cdot 7}$

Step 4.3.2.3

Rewrite the expression.

$m = \frac{10}{7}$

Step 5