Algebra Examples

$(0, - 1)$ and $(3, - 5)$

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.

$\sqrt{{(3 - 0)}^{2} + {((- 5) - (- 1))}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $0$ from $3$ .

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

Step 3.2

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

$\sqrt{9 + {((- 5) - (- 1))}^{2}}$

Step 3.3

Multiply $- 1$ by $- 1$ .

$\sqrt{9 + {(- 5 + 1)}^{2}}$

Step 3.4

Add $- 5$ and $1$ .

$\sqrt{9 + {(- 4)}^{2}}$

Step 3.5

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

$\sqrt{9 + 16}$

Step 3.6

Add $9$ and $16$ .

$\sqrt{25}$

Step 3.7

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

$\sqrt{5^{2}}$

Step 3.8

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

$5$

Step 4