Find the Distance Between Two Points (-8,0) and (1,4)

$(- 8, 0)$ and $(1, 4)$

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.

$\sqrt{{(1 - (- 8))}^{2} + {(4 - 0)}^{2}}$

Simplify.

Multiply $- 1$ by $- 8$ .

$\sqrt{{(1 + 8)}^{2} + {(4 - 0)}^{2}}$

Add $1$ and $8$ .

$\sqrt{9^{2} + {(4 - 0)}^{2}}$

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

$\sqrt{81 + {(4 - 0)}^{2}}$

Subtract $0$ from $4$ .

$\sqrt{81 + 4^{2}}$

Raise $4$ to the power of $2$ .

$\sqrt{81 + 16}$

Add $81$ and $16$ .

$\sqrt{97}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{97}$

Decimal Form:

$9.84885780 \dots$