Find the Distance Between Two Points (-1,4) and (8,2)

$(- 1, 4)$ and $(8, 2)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(8 - (- 1))}^{2} + {(2 - 4)}^{2}}$

Simplify.

Multiply $- 1$ by $- 1$ .

$\sqrt{{(8 + 1)}^{2} + {(2 - 4)}^{2}}$

Add $8$ and $1$ .

$\sqrt{9^{2} + {(2 - 4)}^{2}}$

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

$\sqrt{81 + {(2 - 4)}^{2}}$

Subtract $4$ from $2$ .

$\sqrt{81 + {(- 2)}^{2}}$

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

$\sqrt{81 + 4}$

Add $81$ and $4$ .

$\sqrt{85}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{85}$

Decimal Form:

$9.21954445 \dots$