Precalculus Examples

$(2, 4)$ , $(- 3, - 3)$

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

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

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

$\sqrt{{((- 3) - 2)}^{2} + {((- 3) - 4)}^{2}}$

Simplify.

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Subtract $2$ from $- 3$ .

$\sqrt{{(- 5)}^{2} + {((- 3) - 4)}^{2}}$

Raise $- 5$ to the power of $2$ .

$\sqrt{25 + {((- 3) - 4)}^{2}}$

Subtract $4$ from $- 3$ .

$\sqrt{25 + {(- 7)}^{2}}$

Raise $- 7$ to the power of $2$ .

$\sqrt{25 + 49}$

Add $25$ and $49$ .

$\sqrt{74}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{74}$

Decimal Form:

$8.60232526 \dots$

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