Algebra Examples

$(- 6, 5)$ , $(9, 5)$

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.

$\sqrt{{(9 - (- 6))}^{2} + {(5 - 5)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 6$ .

$\sqrt{{(9 + 6)}^{2} + {(5 - 5)}^{2}}$

Step 3.2

Add $9$ and $6$ .

$\sqrt{15^{2} + {(5 - 5)}^{2}}$

Step 3.3

Raise $15$ to the power of $2$ .

$\sqrt{225 + {(5 - 5)}^{2}}$

Step 3.4

Subtract $5$ from $5$ .

$\sqrt{225 + 0^{2}}$

Step 3.5

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

$\sqrt{225 + 0}$

Step 3.6

Add $225$ and $0$ .

$\sqrt{225}$

Step 3.7

Rewrite $225$ as $15^{2}$ .

$\sqrt{15^{2}}$

Step 3.8

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

$15$

Step 4