Find the Distance Between Two Points (8,-8) , (-9,1)

$(8, - 8)$ , $(- 9, 1)$

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.

$\sqrt{{((- 9) - 8)}^{2} + {(1 - (- 8))}^{2}}$

Step 3

Simplify.

Subtract $8$ from $- 9$ .

$\sqrt{{(- 17)}^{2} + {(1 - (- 8))}^{2}}$

Raise $- 17$ to the power of $2$ .

$\sqrt{289 + {(1 - (- 8))}^{2}}$

Multiply $- 1$ by $- 8$ .

$\sqrt{289 + {(1 + 8)}^{2}}$

Add $1$ and $8$ .

$\sqrt{289 + 9^{2}}$

Raise $9$ to the power of $2$ .

$\sqrt{289 + 81}$

Add $289$ and $81$ .

$\sqrt{370}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{370}$

Decimal Form:

$19.23538406 \dots$

Step 5