Find the Distance Between Two Points (2,5) , (-1,-3)

$(2, 5)$ , $(- 1, - 3)$

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.

$\sqrt{{((- 1) - 2)}^{2} + {((- 3) - 5)}^{2}}$

Simplify.

Subtract $2$ from $- 1$ .

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

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

$\sqrt{9 + {((- 3) - 5)}^{2}}$

Subtract $5$ from $- 3$ .

$\sqrt{9 + {(- 8)}^{2}}$

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

$\sqrt{9 + 64}$

Add $9$ and $64$ .

$\sqrt{73}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{73}$

Decimal Form:

$8.54400374 \dots$