Find the Distance Between Two Points (9,-2) , (7,-1)

$(9, - 2)$ , $(7, - 1)$

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.

$\sqrt{{(7 - 9)}^{2} + {((- 1) - (- 2))}^{2}}$

Step 3

Simplify.

Subtract $9$ from $7$ .

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

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

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

Multiply $- 1$ by $- 2$ .

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

Add $- 1$ and $2$ .

$\sqrt{4 + 1^{2}}$

One to any power is one.

$\sqrt{4 + 1}$

Add $4$ and $1$ .

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

Step 5