Find the Distance Between Two Points (7,2) and (-1,-3)

$(7, 2)$ and $(- 1, - 3)$

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.

$\sqrt{{((- 1) - 7)}^{2} + {((- 3) - 2)}^{2}}$

Simplify.

Subtract $7$ from $- 1$ .

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

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

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

Subtract $2$ from $- 3$ .

$\sqrt{64 + {(- 5)}^{2}}$

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

$\sqrt{64 + 25}$

Add $64$ and $25$ .

$\sqrt{89}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{89}$

Decimal Form:

$9.43398113 \dots$