Precalculus Examples

$(- 3, 9)$ , $(0, 9)$

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.

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

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 3$ .

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

Step 3.2

Add $0$ and $3$ .

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

Step 3.3

Raise $3$ to the power of $2$ .

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

Step 3.4

Subtract $9$ from $9$ .

$\sqrt{9 + 0^{2}}$

Step 3.5

Raising $0$ to any positive power yields $0$ .

$\sqrt{9 + 0}$

Step 3.6

Add $9$ and $0$ .

$\sqrt{9}$

Step 3.7

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Step 3.8

Pull terms out from under the radical, assuming positive real numbers.

$3$

Step 4

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