Find the Distance Between Two Points (1,0) and (7,-8)

$(1, 0)$ and $(7, - 8)$

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.

$\sqrt{{(7 - 1)}^{2} + {((- 8) - 0)}^{2}}$

Simplify.

Subtract $1$ from $7$ .

$\sqrt{6^{2} + {((- 8) - 0)}^{2}}$

Raise $6$ to the power of $2$ .

$\sqrt{36 + {((- 8) - 0)}^{2}}$

Subtract $0$ from $- 8$ .

$\sqrt{36 + {(- 8)}^{2}}$

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

$\sqrt{36 + 64}$

Add $36$ and $64$ .

$\sqrt{100}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$10$