Find the Distance Between Two Points (-3,-3) , (6,-1)

$(- 3, - 3)$ , $(6, - 1)$

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.

$\sqrt{{(6 - (- 3))}^{2} + {((- 1) - (- 3))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 3$ .

$\sqrt{{(6 + 3)}^{2} + {((- 1) - (- 3))}^{2}}$

Add $6$ and $3$ .

$\sqrt{9^{2} + {((- 1) - (- 3))}^{2}}$

Raise $9$ to the power of $2$ .

$\sqrt{81 + {((- 1) - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{81 + {(- 1 + 3)}^{2}}$

Add $- 1$ and $3$ .

$\sqrt{81 + 2^{2}}$

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

$\sqrt{81 + 4}$

Add $81$ and $4$ .

$\sqrt{85}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{85}$

Decimal Form:

$9.21954445 \dots$

Step 5