Find the Distance Between Two Points (0,0) , (4,0)

$(0, 0)$ , $(4, 0)$

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.

$\sqrt{{(4 - 0)}^{2} + {(0 - 0)}^{2}}$

Step 3

Simplify.

Subtract $0$ from $4$ .

$\sqrt{4^{2} + {(0 - 0)}^{2}}$

Raise $4$ to the power of $2$ .

$\sqrt{16 + {(0 - 0)}^{2}}$

Subtract $0$ from $0$ .

$\sqrt{16 + 0^{2}}$

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

$\sqrt{16 + 0}$

Add $16$ and $0$ .

$\sqrt{16}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2}}$

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

$4$

Step 4