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

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

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.

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

Step 3

Simplify.

Multiply $- 1$ by $- 9$ .

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

Add $- 1$ and $9$ .

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

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

$\sqrt{64 + {(1 - 8)}^{2}}$

Subtract $8$ from $1$ .

$\sqrt{64 + {(- 7)}^{2}}$

Raise $- 7$ to the power of $2$ .

$\sqrt{64 + 49}$

Add $64$ and $49$ .

$\sqrt{113}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{113}$

Decimal Form:

$10.63014581 \dots$

Step 5