Find the Distance Between Two Points (-5,-1) , (0,2)

$(- 5, - 1)$ , $(0, 2)$

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.

$\sqrt{{(0 - (- 5))}^{2} + {(2 - (- 1))}^{2}}$

Simplify.

Multiply $- 1$ by $- 5$ .

$\sqrt{{(0 + 5)}^{2} + {(2 - (- 1))}^{2}}$

Add $0$ and $5$ .

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

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

$\sqrt{25 + {(2 - (- 1))}^{2}}$

Multiply $- 1$ by $- 1$ .

$\sqrt{25 + {(2 + 1)}^{2}}$

Add $2$ and $1$ .

$\sqrt{25 + 3^{2}}$

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

$\sqrt{25 + 9}$

Add $25$ and $9$ .

$\sqrt{34}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{34}$

Decimal Form:

$5.83095189 \dots$