Find the Distance Between Two Points (-8,17) , (-8,-8)

$(- 8, 17)$ , $(- 8, - 8)$

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.

$\sqrt{{((- 8) - (- 8))}^{2} + {((- 8) - 17)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 8$ .

$\sqrt{{(- 8 + 8)}^{2} + {((- 8) - 17)}^{2}}$

Add $- 8$ and $8$ .

$\sqrt{0^{2} + {((- 8) - 17)}^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{0 + {((- 8) - 17)}^{2}}$

Subtract $17$ from $- 8$ .

$\sqrt{0 + {(- 25)}^{2}}$

Raise $- 25$ to the power of $2$ .

$\sqrt{0 + 625}$

Add $0$ and $625$ .

$\sqrt{625}$

Rewrite $625$ as $25^{2}$ .

$\sqrt{25^{2}}$

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

$25$

Step 4