Find the Distance Between Two Points (2,-3) and (10,-3)

$(2, - 3)$ and $(10, - 3)$

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.

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

Step 3

Simplify.

Subtract $2$ from $10$ .

$\sqrt{8^{2} + {((- 3) - (- 3))}^{2}}$

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

$\sqrt{64 + {((- 3) - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{64 + {(- 3 + 3)}^{2}}$

Add $- 3$ and $3$ .

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

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