Algebra Examples

$(- 6, 4)$ , $(3, - 8)$

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.

$\sqrt{{(3 - (- 6))}^{2} + {((- 8) - 4)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 6$ .

$\sqrt{{(3 + 6)}^{2} + {((- 8) - 4)}^{2}}$

Step 3.2

Add $3$ and $6$ .

$\sqrt{9^{2} + {((- 8) - 4)}^{2}}$

Step 3.3

Raise $9$ to the power of $2$ .

$\sqrt{81 + {((- 8) - 4)}^{2}}$

Step 3.4

Subtract $4$ from $- 8$ .

$\sqrt{81 + {(- 12)}^{2}}$

Step 3.5

Raise $- 12$ to the power of $2$ .

$\sqrt{81 + 144}$

Step 3.6

Add $81$ and $144$ .

$\sqrt{225}$

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