Find the Distance Between Two Points (-10,3) , (-10,12)

$(- 10, 3)$ , $(- 10, 12)$

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.

$\sqrt{{((- 10) - (- 10))}^{2} + {(12 - 3)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 10$ .

$\sqrt{{(- 10 + 10)}^{2} + {(12 - 3)}^{2}}$

Add $- 10$ and $10$ .

$\sqrt{0^{2} + {(12 - 3)}^{2}}$

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

$\sqrt{0 + {(12 - 3)}^{2}}$

Subtract $3$ from $12$ .

$\sqrt{0 + 9^{2}}$

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

$\sqrt{0 + 81}$

Add $0$ and $81$ .

$\sqrt{81}$

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2}}$

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

$9$

Step 4