Find the Distance Between Two Points (0,-6) and (9,-1)

$(0, - 6)$ and $(9, - 1)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(9 - 0)}^{2} + {((- 1) - (- 6))}^{2}}$

Simplify.

Subtract $0$ from $9$ .

$\sqrt{9^{2} + {((- 1) - (- 6))}^{2}}$

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

$\sqrt{81 + {((- 1) - (- 6))}^{2}}$

Multiply $- 1$ by $- 6$ .

$\sqrt{81 + {(- 1 + 6)}^{2}}$

Add $- 1$ and $6$ .

$\sqrt{81 + 5^{2}}$

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:

$10.29563014 \dots$