Find the Distance Between Two Points (-2,0) , (5,-8)

$(- 2, 0)$ , $(5, - 8)$

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.

$\sqrt{{(5 - (- 2))}^{2} + {((- 8) - 0)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 2$ .

$\sqrt{{(5 + 2)}^{2} + {((- 8) - 0)}^{2}}$

Add $5$ and $2$ .

$\sqrt{7^{2} + {((- 8) - 0)}^{2}}$

Raise $7$ to the power of $2$ .

$\sqrt{49 + {((- 8) - 0)}^{2}}$

Subtract $0$ from $- 8$ .

$\sqrt{49 + {(- 8)}^{2}}$

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

$\sqrt{49 + 64}$

Add $49$ and $64$ .

$\sqrt{113}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{113}$

Decimal Form:

$10.63014581 \dots$

Step 5