Find the Distance Between Two Points (0,6) , (2,3)

$(0, 6)$ , $(2, 3)$

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.

$\sqrt{{(2 - 0)}^{2} + {(3 - 6)}^{2}}$

Step 3

Simplify.

Subtract $0$ from $2$ .

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

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

$\sqrt{4 + {(3 - 6)}^{2}}$

Subtract $6$ from $3$ .

$\sqrt{4 + {(- 3)}^{2}}$

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

$\sqrt{4 + 9}$

Add $4$ and $9$ .

$\sqrt{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{13}$

Decimal Form:

$3.60555127 \dots$

Step 5