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

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

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.

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

Simplify.

Multiply $- 1$ by $- 9$ .

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

Add $0$ and $9$ .

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

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

$\sqrt{81 + {(0 - 5)}^{2}}$

Subtract $5$ from $0$ .

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

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

$\sqrt{81 + 25}$

Add $81$ and $25$ .

$\sqrt{106}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{106}$

Decimal Form:

$10.29563014 \dots$