Find the Distance Between Two Points (-6,-1) , (-2,6)

$(- 6, - 1)$ , $(- 2, 6)$

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.

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

Simplify.

Multiply $- 1$ by $- 6$ .

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

Add $- 2$ and $6$ .

$\sqrt{4^{2} + {(6 - (- 1))}^{2}}$

Raise $4$ to the power of $2$ .

$\sqrt{16 + {(6 - (- 1))}^{2}}$

Multiply $- 1$ by $- 1$ .

$\sqrt{16 + {(6 + 1)}^{2}}$

Add $6$ and $1$ .

$\sqrt{16 + 7^{2}}$

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

$\sqrt{16 + 49}$

Add $16$ and $49$ .

$\sqrt{65}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{65}$

Decimal Form:

$8.06225774 \dots$