Find the Distance Between Two Points (-6,-5) and (2,0)

$(- 6, - 5)$ and $(2, 0)$

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.

$\sqrt{{(2 - (- 6))}^{2} + {(0 - (- 5))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 6$ .

$\sqrt{{(2 + 6)}^{2} + {(0 - (- 5))}^{2}}$

Add $2$ and $6$ .

$\sqrt{8^{2} + {(0 - (- 5))}^{2}}$

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

$\sqrt{64 + {(0 - (- 5))}^{2}}$

Multiply $- 1$ by $- 5$ .

$\sqrt{64 + {(0 + 5)}^{2}}$

Add $0$ and $5$ .

$\sqrt{64 + 5^{2}}$

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

$\sqrt{64 + 25}$

Add $64$ and $25$ .

$\sqrt{89}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{89}$

Decimal Form:

$9.43398113 \dots$

Step 5