Find the Distance Between Two Points find the distance between the pair of points (18,22) and (-13,-7)

find the distance between the pair of points $(18, 22)$ and $(- 13, - 7)$

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.

$\sqrt{{((- 13) - 18)}^{2} + {((- 7) - 22)}^{2}}$

Simplify.

Subtract $18$ from $- 13$ .

$\sqrt{{(- 31)}^{2} + {((- 7) - 22)}^{2}}$

Raise $- 31$ to the power of $2$ .

$\sqrt{961 + {((- 7) - 22)}^{2}}$

Subtract $22$ from $- 7$ .

$\sqrt{961 + {(- 29)}^{2}}$

Raise $- 29$ to the power of $2$ .

$\sqrt{961 + 841}$

Add $961$ and $841$ .

$\sqrt{1802}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1802}$

Decimal Form:

$42.44997055 \dots$