Find the Distance Between Two Points (0,0) , (6,1)

$(0, 0)$ , $(6, 1)$

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.

$\sqrt{{(6 - 0)}^{2} + {(1 - 0)}^{2}}$

Step 3

Simplify.

Subtract $0$ from $6$ .

$\sqrt{6^{2} + {(1 - 0)}^{2}}$

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

$\sqrt{36 + {(1 - 0)}^{2}}$

Subtract $0$ from $1$ .

$\sqrt{36 + 1^{2}}$

One to any power is one.

$\sqrt{36 + 1}$

Add $36$ and $1$ .

$\sqrt{37}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{37}$

Decimal Form:

$6.08276253 \dots$

Step 5