Find the Distance Between Two Points (-3,0) and (5,-3)

$(- 3, 0)$ and $(5, - 3)$

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.

$\sqrt{{(5 - (- 3))}^{2} + {((- 3) - 0)}^{2}}$

Simplify.

Multiply $- 1$ by $- 3$ .

$\sqrt{{(5 + 3)}^{2} + {((- 3) - 0)}^{2}}$

Add $5$ and $3$ .

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

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

$\sqrt{64 + {((- 3) - 0)}^{2}}$

Subtract $0$ from $- 3$ .

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

Raise $- 3$ to the power of $2$ .

$\sqrt{64 + 9}$

Add $64$ and $9$ .

$\sqrt{73}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{73}$

Decimal Form:

$8.54400374 \dots$