Find the Distance Between Two Points (-6,4) , (-12,4)

$(- 6, 4)$ , $(- 12, 4)$

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.

$\sqrt{{((- 12) - (- 6))}^{2} + {(4 - 4)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 6$ .

$\sqrt{{(- 12 + 6)}^{2} + {(4 - 4)}^{2}}$

Add $- 12$ and $6$ .

$\sqrt{{(- 6)}^{2} + {(4 - 4)}^{2}}$

Raise $- 6$ to the power of $2$ .

$\sqrt{36 + {(4 - 4)}^{2}}$

Subtract $4$ from $4$ .

$\sqrt{36 + 0^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{36 + 0}$

Add $36$ and $0$ .

$\sqrt{36}$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$6$

Step 4