Find the Distance Between Two Points (-6,-5) and (1,-8)

$(- 6, - 5)$ and $(1, - 8)$

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.

$\sqrt{{(1 - (- 6))}^{2} + {((- 8) - (- 5))}^{2}}$

Simplify.

Multiply $- 1$ by $- 6$ .

$\sqrt{{(1 + 6)}^{2} + {((- 8) - (- 5))}^{2}}$

Add $1$ and $6$ .

$\sqrt{7^{2} + {((- 8) - (- 5))}^{2}}$

Raise $7$ to the power of $2$ .

$\sqrt{49 + {((- 8) - (- 5))}^{2}}$

Multiply $- 1$ by $- 5$ .

$\sqrt{49 + {(- 8 + 5)}^{2}}$

Add $- 8$ and $5$ .

$\sqrt{49 + {(- 3)}^{2}}$

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

$\sqrt{49 + 9}$

Add $49$ and $9$ .

$\sqrt{58}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{58}$

Decimal Form:

$7.61577310 \dots$