Find the Distance Between Two Points (0,2) , (-6,2)

$(0, 2)$ , $(- 6, 2)$

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.

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

Step 3

Simplify.

Subtract $0$ from $- 6$ .

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

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

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

Subtract $2$ from $2$ .

$\sqrt{36 + 0^{2}}$

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

$\sqrt{36 + 0}$

Add $36$ and $0$ .

$\sqrt{36}$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2}}$

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

$6$

Step 4