Precalculus Examples

$(7, 9)$ , $(0, 3)$

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.

$\sqrt{{(0 - 7)}^{2} + {(3 - 9)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $7$ from $0$ .

$\sqrt{{(- 7)}^{2} + {(3 - 9)}^{2}}$

Step 3.2

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

$\sqrt{49 + {(3 - 9)}^{2}}$

Step 3.3

Subtract $9$ from $3$ .

$\sqrt{49 + {(- 6)}^{2}}$

Step 3.4

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

$\sqrt{49 + 36}$

Step 3.5

Add $49$ and $36$ .

$\sqrt{85}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{85}$

Decimal Form:

$9.21954445 \dots$

Step 5

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