Find the Distance Between Two Points (4,8) , (8,8)

$(4, 8)$ , $(8, 8)$

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.

$\sqrt{{(8 - 4)}^{2} + {(8 - 8)}^{2}}$

Step 3

Simplify.

Subtract $4$ from $8$ .

$\sqrt{4^{2} + {(8 - 8)}^{2}}$

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

$\sqrt{16 + {(8 - 8)}^{2}}$

Subtract $8$ from $8$ .

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

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