Algebra Examples

$(1, 2)$ , $(- 3, 5)$

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.

$\sqrt{{((- 3) - 1)}^{2} + {(5 - 2)}^{2}}$

Simplify.

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Subtract $1$ from $- 3$ .

$\sqrt{{(- 4)}^{2} + {(5 - 2)}^{2}}$

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

$\sqrt{16 + {(5 - 2)}^{2}}$

Subtract $2$ from $5$ .

$\sqrt{16 + 3^{2}}$

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

$\sqrt{16 + 9}$

Add $16$ and $9$ .

$\sqrt{25}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

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

$5$