Find the Distance Between Two Points (9,18) , (1,12)

$(9, 18)$ , $(1, 12)$

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.

$\sqrt{{(1 - 9)}^{2} + {(12 - 18)}^{2}}$

Step 3

Simplify.

Subtract $9$ from $1$ .

$\sqrt{{(- 8)}^{2} + {(12 - 18)}^{2}}$

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

$\sqrt{64 + {(12 - 18)}^{2}}$

Subtract $18$ from $12$ .

$\sqrt{64 + {(- 6)}^{2}}$

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

$\sqrt{64 + 36}$

Add $64$ and $36$ .

$\sqrt{100}$

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

$\sqrt{10^{2}}$

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

$10$

Step 4