Find the Distance Between Two Points (1,5) and (9,0)

$(1, 5)$ and $(9, 0)$

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.

$\sqrt{{(9 - 1)}^{2} + {(0 - 5)}^{2}}$

Simplify.

Subtract $1$ from $9$ .

$\sqrt{8^{2} + {(0 - 5)}^{2}}$

Raise $8$ to the power of $2$ .

$\sqrt{64 + {(0 - 5)}^{2}}$

Subtract $5$ from $0$ .

$\sqrt{64 + {(- 5)}^{2}}$

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

$\sqrt{64 + 25}$

Add $64$ and $25$ .

$\sqrt{89}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{89}$

Decimal Form:

$9.43398113 \dots$