Find the Distance Between Two Points (-4,2) , (4,2)

$(- 4, 2)$ , $(4, 2)$

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.

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

Step 3

Simplify.

Multiply $- 1$ by $- 4$ .

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

Add $4$ and $4$ .

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

Raise $8$ to the power of $2$ .

$\sqrt{64 + {(2 - 2)}^{2}}$

Subtract $2$ from $2$ .

$\sqrt{64 + 0^{2}}$

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

$\sqrt{64 + 0}$

Add $64$ and $0$ .

$\sqrt{64}$

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2}}$

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

$8$

Step 4