Find the Distance Between Two Points (-5,3) , (5,3)

$(- 5, 3)$ , $(5, 3)$

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.

$\sqrt{{(5 - (- 5))}^{2} + {(3 - 3)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 5$ .

$\sqrt{{(5 + 5)}^{2} + {(3 - 3)}^{2}}$

Add $5$ and $5$ .

$\sqrt{10^{2} + {(3 - 3)}^{2}}$

Raise $10$ to the power of $2$ .

$\sqrt{100 + {(3 - 3)}^{2}}$

Subtract $3$ from $3$ .

$\sqrt{100 + 0^{2}}$

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

$\sqrt{100 + 0}$

Add $100$ and $0$ .

$\sqrt{100}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

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

$10$

Step 4