Find the Distance Between Two Points (6,2) and (1,-4)

$(6, 2)$ and $(1, - 4)$

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.

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

Simplify.

Subtract $6$ from $1$ .

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

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

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

Subtract $2$ from $- 4$ .

$\sqrt{25 + {(- 6)}^{2}}$

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

$\sqrt{25 + 36}$

Add $25$ and $36$ .

$\sqrt{61}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{61}$

Decimal Form:

$7.81024967 \dots$