Find the Distance Between Two Points (-5,-10) , (0,-4)

$(- 5, - 10)$ , $(0, - 4)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{(0 - (- 5))}^{2} + {((- 4) - (- 10))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 5$ .

$\sqrt{{(0 + 5)}^{2} + {((- 4) - (- 10))}^{2}}$

Add $0$ and $5$ .

$\sqrt{5^{2} + {((- 4) - (- 10))}^{2}}$

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

$\sqrt{25 + {((- 4) - (- 10))}^{2}}$

Multiply $- 1$ by $- 10$ .

$\sqrt{25 + {(- 4 + 10)}^{2}}$

Add $- 4$ and $10$ .

$\sqrt{25 + 6^{2}}$

Raise $6$ to the power of $2$ .

$\sqrt{25 + 36}$

Add $25$ and $36$ .

$\sqrt{61}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{61}$

Decimal Form:

$7.81024967 \dots$

Step 5