Find the Distance Between Two Points (-6,4) , (-5,-4)

$(- 6, 4)$ , $(- 5, - 4)$

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.

$\sqrt{{((- 5) - (- 6))}^{2} + {((- 4) - 4)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 6$ .

$\sqrt{{(- 5 + 6)}^{2} + {((- 4) - 4)}^{2}}$

Add $- 5$ and $6$ .

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

One to any power is one.

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

Subtract $4$ from $- 4$ .

$\sqrt{1 + {(- 8)}^{2}}$

Raise $- 8$ to the power of $2$ .

$\sqrt{1 + 64}$

Add $1$ and $64$ .

$\sqrt{65}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{65}$

Decimal Form:

$8.06225774 \dots$

Step 5