Finite Math Examples

$(- 9, 3)$ , $(- 3, - 8)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{((- 3) - (- 9))}^{2} + {((- 8) - 3)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 9$ .

$\sqrt{{(- 3 + 9)}^{2} + {((- 8) - 3)}^{2}}$

Step 3.2

Add $- 3$ and $9$ .

$\sqrt{6^{2} + {((- 8) - 3)}^{2}}$

Step 3.3

Raise $6$ to the power of $2$ .

$\sqrt{36 + {((- 8) - 3)}^{2}}$

Step 3.4

Subtract $3$ from $- 8$ .

$\sqrt{36 + {(- 11)}^{2}}$

Step 3.5

Raise $- 11$ to the power of $2$ .

$\sqrt{36 + 121}$

Step 3.6

Add $36$ and $121$ .

$\sqrt{157}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{157}$

Decimal Form:

$12.52996408 \dots$

Step 5