Find the Distance Between Two Points (8,-4) and (1,-7)

$(8, - 4)$ and $(1, - 7)$

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.

$\sqrt{{(1 - 8)}^{2} + {((- 7) - (- 4))}^{2}}$

Simplify.

Subtract $8$ from $1$ .

$\sqrt{{(- 7)}^{2} + {((- 7) - (- 4))}^{2}}$

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

$\sqrt{49 + {((- 7) - (- 4))}^{2}}$

Multiply $- 1$ by $- 4$ .

$\sqrt{49 + {(- 7 + 4)}^{2}}$

Add $- 7$ and $4$ .

$\sqrt{49 + {(- 3)}^{2}}$

Raise $- 3$ to the power of $2$ .

$\sqrt{49 + 9}$

Add $49$ and $9$ .

$\sqrt{58}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{58}$

Decimal Form:

$7.61577310 \dots$