Find the Distance Between Two Points (-1,6) and (-1,14)

$(- 1, 6)$ and $(- 1, 14)$

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.

$\sqrt{{((- 1) - (- 1))}^{2} + {(14 - 6)}^{2}}$

Simplify.

Multiply $- 1$ by $- 1$ .

$\sqrt{{(- 1 + 1)}^{2} + {(14 - 6)}^{2}}$

Add $- 1$ and $1$ .

$\sqrt{0^{2} + {(14 - 6)}^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{0 + {(14 - 6)}^{2}}$

Subtract $6$ from $14$ .

$\sqrt{0 + 8^{2}}$

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

$\sqrt{0 + 64}$

Add $0$ and $64$ .

$\sqrt{64}$

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2}}$

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

$8$