Find the Distance Between Two Points (-4,6) , (-1,-10)

$(- 4, 6)$ , $(- 1, - 10)$

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.

$\sqrt{{((- 1) - (- 4))}^{2} + {((- 10) - 6)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 4$ .

$\sqrt{{(- 1 + 4)}^{2} + {((- 10) - 6)}^{2}}$

Add $- 1$ and $4$ .

$\sqrt{3^{2} + {((- 10) - 6)}^{2}}$

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

$\sqrt{9 + {((- 10) - 6)}^{2}}$

Subtract $6$ from $- 10$ .

$\sqrt{9 + {(- 16)}^{2}}$

Raise $- 16$ to the power of $2$ .

$\sqrt{9 + 256}$

Add $9$ and $256$ .

$\sqrt{265}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{265}$

Decimal Form:

$16.27882059 \dots$

Step 5