Find the Distance Between Two Points (-8,-6) and (-3,-4)

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

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.

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

Simplify.

Multiply $- 1$ by $- 8$ .

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

Add $- 3$ and $8$ .

$\sqrt{5^{2} + {((- 4) - (- 6))}^{2}}$

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

$\sqrt{25 + {((- 4) - (- 6))}^{2}}$

Multiply $- 1$ by $- 6$ .

$\sqrt{25 + {(- 4 + 6)}^{2}}$

Add $- 4$ and $6$ .

$\sqrt{25 + 2^{2}}$

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

$\sqrt{25 + 4}$

Add $25$ and $4$ .

$\sqrt{29}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{29}$

Decimal Form:

$5.38516480 \dots$