Find the Distance Between Two Points (3.5,8.2) , (-0.5,6.2)

$(3.5, 8.2)$ , $(- 0.5, 6.2)$

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.

$\sqrt{{((- 0.5) - 3.5)}^{2} + {(6.2 - 8.2)}^{2}}$

Step 3

Simplify.

Subtract $3.5$ from $- 0.5$ .

$\sqrt{{(- 4)}^{2} + {(6.2 - 8.2)}^{2}}$

Raise $- 4$ to the power of $2$ .

$\sqrt{16 + {(6.2 - 8.2)}^{2}}$

Subtract $8.2$ from $6.2$ .

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

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

$\sqrt{16 + 4}$

Add $16$ and $4$ .

$\sqrt{20}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{20}$

Decimal Form:

$4.47213595 \dots$

Step 5