Find the Distance Between Two Points (-1,-3) , (11,-8)

$(- 1, - 3)$ , $(11, - 8)$

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.

$\sqrt{{(11 - (- 1))}^{2} + {((- 8) - (- 3))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 1$ .

$\sqrt{{(11 + 1)}^{2} + {((- 8) - (- 3))}^{2}}$

Add $11$ and $1$ .

$\sqrt{12^{2} + {((- 8) - (- 3))}^{2}}$

Raise $12$ to the power of $2$ .

$\sqrt{144 + {((- 8) - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{144 + {(- 8 + 3)}^{2}}$

Add $- 8$ and $3$ .

$\sqrt{144 + {(- 5)}^{2}}$

Raise $- 5$ to the power of $2$ .

$\sqrt{144 + 25}$

Add $144$ and $25$ .

$\sqrt{169}$

Rewrite $169$ as $13^{2}$ .

$\sqrt{13^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$13$

Step 4