Find the Distance Between Two Points (9,-9) , (-6,-7)

$(9, - 9)$ , $(- 6, - 7)$

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.

$\sqrt{{((- 6) - 9)}^{2} + {((- 7) - (- 9))}^{2}}$

Step 3

Simplify.

Subtract $9$ from $- 6$ .

$\sqrt{{(- 15)}^{2} + {((- 7) - (- 9))}^{2}}$

Raise $- 15$ to the power of $2$ .

$\sqrt{225 + {((- 7) - (- 9))}^{2}}$

Multiply $- 1$ by $- 9$ .

$\sqrt{225 + {(- 7 + 9)}^{2}}$

Add $- 7$ and $9$ .

$\sqrt{225 + 2^{2}}$

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

$\sqrt{225 + 4}$

Add $225$ and $4$ .

$\sqrt{229}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{229}$

Decimal Form:

$15.13274595 \dots$

Step 5