Find the Distance Between Two Points (x_1,y_1) and (x_2,y_2)

$(x_{1}, y_{1})$ and $(x_{2}, y_{2})$

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.

$\sqrt{{(x - x)}^{2} + {(y - y)}^{2}}$

Step 3

Simplify.

Subtract $x$ from $x$ .

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

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

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

Subtract $y$ from $y$ .

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

Simplify the expression.

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

$\sqrt{0 + 0}$

Add $0$ and $0$ .

$\sqrt{0}$

Rewrite $0$ as $0^{2}$ .

$\sqrt{0^{2}}$

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

$0$