Find the Distance Between Two Points (-13,-21) and (-22,-23)

$(- 13, - 21)$ and $(- 22, - 23)$

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.

$\sqrt{{((- 22) - (- 13))}^{2} + {((- 23) - (- 21))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 13$ .

$\sqrt{{(- 22 + 13)}^{2} + {((- 23) - (- 21))}^{2}}$

Add $- 22$ and $13$ .

$\sqrt{{(- 9)}^{2} + {((- 23) - (- 21))}^{2}}$

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

$\sqrt{81 + {((- 23) - (- 21))}^{2}}$

Multiply $- 1$ by $- 21$ .

$\sqrt{81 + {(- 23 + 21)}^{2}}$

Add $- 23$ and $21$ .

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

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