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

$(0, 2)$ , $(0, 0)$

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.

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

Step 3

Simplify.

Subtract $0$ from $0$ .

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

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

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

Subtract $2$ from $0$ .

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

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

$\sqrt{0 + 4}$

Add $0$ and $4$ .

$\sqrt{4}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2}}$

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

$2$

Step 4