Find the Distance Between Two Points (0,0) and (-8,6)

$(0, 0)$ and $(- 8, 6)$

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.

$\sqrt{{((- 8) - 0)}^{2} + {(6 - 0)}^{2}}$

Step 3

Simplify.

Subtract $0$ from $- 8$ .

$\sqrt{{(- 8)}^{2} + {(6 - 0)}^{2}}$

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

$\sqrt{64 + {(6 - 0)}^{2}}$

Subtract $0$ from $6$ .

$\sqrt{64 + 6^{2}}$

Raise $6$ to the power of $2$ .

$\sqrt{64 + 36}$

Add $64$ and $36$ .

$\sqrt{100}$

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

$\sqrt{10^{2}}$

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

$10$

Step 4