Find the Distance Between Two Points (6,-7) , (6,9)

$(6, - 7)$ , $(6, 9)$

Step 1

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

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

Step 2

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

$\sqrt{{(6 - 6)}^{2} + {(9 - (- 7))}^{2}}$

Step 3

Simplify.

Subtract $6$ from $6$ .

$\sqrt{0^{2} + {(9 - (- 7))}^{2}}$

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

$\sqrt{0 + {(9 - (- 7))}^{2}}$

Multiply $- 1$ by $- 7$ .

$\sqrt{0 + {(9 + 7)}^{2}}$

Add $9$ and $7$ .

$\sqrt{0 + 16^{2}}$

Raise $16$ to the power of $2$ .

$\sqrt{0 + 256}$

Add $0$ and $256$ .

$\sqrt{256}$

Rewrite $256$ as $16^{2}$ .

$\sqrt{16^{2}}$

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

$16$

Step 4