Find the Distance Between Two Points (-7,-8) and (-4,0)

$(- 7, - 8)$ and $(- 4, 0)$

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.

$\sqrt{{((- 4) - (- 7))}^{2} + {(0 - (- 8))}^{2}}$

Simplify.

Multiply $- 1$ by $- 7$ .

$\sqrt{{(- 4 + 7)}^{2} + {(0 - (- 8))}^{2}}$

Add $- 4$ and $7$ .

$\sqrt{3^{2} + {(0 - (- 8))}^{2}}$

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

$\sqrt{9 + {(0 - (- 8))}^{2}}$

Multiply $- 1$ by $- 8$ .

$\sqrt{9 + {(0 + 8)}^{2}}$

Add $0$ and $8$ .

$\sqrt{9 + 8^{2}}$

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

$\sqrt{9 + 64}$

Add $9$ and $64$ .

$\sqrt{73}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{73}$

Decimal Form:

$8.54400374 \dots$