Find the Distance Between Two Points (9,-5) and (0,-9)

$(9, - 5)$ and $(0, - 9)$

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.

$\sqrt{{(0 - 9)}^{2} + {((- 9) - (- 5))}^{2}}$

Simplify.

Subtract $9$ from $0$ .

$\sqrt{{(- 9)}^{2} + {((- 9) - (- 5))}^{2}}$

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

$\sqrt{81 + {((- 9) - (- 5))}^{2}}$

Multiply $- 1$ by $- 5$ .

$\sqrt{81 + {(- 9 + 5)}^{2}}$

Add $- 9$ and $5$ .

$\sqrt{81 + {(- 4)}^{2}}$

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

$\sqrt{81 + 16}$

Add $81$ and $16$ .

$\sqrt{97}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{97}$

Decimal Form:

$9.84885780 \dots$