Find the Distance Between Two Points (-7,-7) , (6,-8)

$(- 7, - 7)$ , $(6, - 8)$

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.

$\sqrt{{(6 - (- 7))}^{2} + {((- 8) - (- 7))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 7$ .

$\sqrt{{(6 + 7)}^{2} + {((- 8) - (- 7))}^{2}}$

Add $6$ and $7$ .

$\sqrt{13^{2} + {((- 8) - (- 7))}^{2}}$

Raise $13$ to the power of $2$ .

$\sqrt{169 + {((- 8) - (- 7))}^{2}}$

Multiply $- 1$ by $- 7$ .

$\sqrt{169 + {(- 8 + 7)}^{2}}$

Add $- 8$ and $7$ .

$\sqrt{169 + {(- 1)}^{2}}$

Raise $- 1$ to the power of $2$ .

$\sqrt{169 + 1}$

Add $169$ and $1$ .

$\sqrt{170}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{170}$

Decimal Form:

$13.03840481 \dots$

Step 5