Basic Math Examples

$(4, - 2)$ , $(6, - 2)$

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.

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

Step 3

Simplify.

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Step 3.1

Subtract $4$ from $6$ .

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

Step 3.2

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

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

Step 3.3

Multiply $- 1$ by $- 2$ .

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

Step 3.4

Add $- 2$ and $2$ .

$\sqrt{4 + 0^{2}}$

Step 3.5

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

$\sqrt{4 + 0}$

Step 3.6

Add $4$ and $0$ .

$\sqrt{4}$

Step 3.7

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2}}$

Step 3.8

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

$2$

Step 4