Find the Distance Between Two Points (-8,-2) and (6,-1)

$(- 8, - 2)$ and $(6, - 1)$

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.

$\sqrt{{(6 - (- 8))}^{2} + {((- 1) - (- 2))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 8$ .

$\sqrt{{(6 + 8)}^{2} + {((- 1) - (- 2))}^{2}}$

Add $6$ and $8$ .

$\sqrt{14^{2} + {((- 1) - (- 2))}^{2}}$

Raise $14$ to the power of $2$ .

$\sqrt{196 + {((- 1) - (- 2))}^{2}}$

Multiply $- 1$ by $- 2$ .

$\sqrt{196 + {(- 1 + 2)}^{2}}$

Add $- 1$ and $2$ .

$\sqrt{196 + 1^{2}}$

One to any power is one.

$\sqrt{196 + 1}$

Add $196$ and $1$ .

$\sqrt{197}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{197}$

Decimal Form:

$14.03566884 \dots$

Step 5