Find the Distance Between Two Points (3,-3) and (7,-8)

$(3, - 3)$ and $(7, - 8)$

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.

$\sqrt{{(7 - 3)}^{2} + {((- 8) - (- 3))}^{2}}$

Simplify.

Subtract $3$ from $7$ .

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

Raise $4$ to the power of $2$ .

$\sqrt{16 + {((- 8) - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{16 + {(- 8 + 3)}^{2}}$

Add $- 8$ and $3$ .

$\sqrt{16 + {(- 5)}^{2}}$

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

$\sqrt{16 + 25}$

Add $16$ and $25$ .

$\sqrt{41}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{41}$

Decimal Form:

$6.40312423 \dots$