Find the Distance Between Two Points (-6,-3) , (2,-8)

$(- 6, - 3)$ , $(2, - 8)$

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.

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

Simplify.

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Multiply $- 1$ by $- 6$ .

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

Add $2$ and $6$ .

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

Raise $8$ to the power of $2$ .

$\sqrt{64 + {((- 8) - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{64 + {(- 8 + 3)}^{2}}$

Add $- 8$ and $3$ .

$\sqrt{64 + {(- 5)}^{2}}$

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

$\sqrt{64 + 25}$

Add $64$ and $25$ .

$\sqrt{89}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{89}$

Decimal Form:

$9.43398113 \dots$

Find the Distance Between Two Points (-6,-3) , (2,-8)

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