Find the Distance Between Two Points (2,-3) and (0,-8)

$(2, - 3)$ and $(0, - 8)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(0 - 2)}^{2} + {((- 8) - (- 3))}^{2}}$

Simplify.

Subtract $2$ from $0$ .

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

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

$\sqrt{4 + {((- 8) - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{4 + {(- 8 + 3)}^{2}}$

Add $- 8$ and $3$ .

$\sqrt{4 + {(- 5)}^{2}}$

Raise $- 5$ to the power of $2$ .

$\sqrt{4 + 25}$

Add $4$ and $25$ .

$\sqrt{29}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{29}$

Decimal Form:

$5.38516480 \dots$