Find the Distance Between Two Points (1.3,7.2) , (-0.7,5.2)

$(1.3, 7.2)$ , $(- 0.7, 5.2)$

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.

$\sqrt{{((- 0.7) - 1.3)}^{2} + {(5.2 - 7.2)}^{2}}$

Step 3

Simplify.

Subtract $1.3$ from $- 0.7$ .

$\sqrt{{(- 2)}^{2} + {(5.2 - 7.2)}^{2}}$

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

$\sqrt{4 + {(5.2 - 7.2)}^{2}}$

Subtract $7.2$ from $5.2$ .

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

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

$\sqrt{4 + 4}$

Add $4$ and $4$ .

$\sqrt{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{8}$

Decimal Form:

$2.82842712 \dots$

Step 5