Algebra Examples

$(- 2, 3)$ , $(- 6, 4)$

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.

$\sqrt{{((- 6) - (- 2))}^{2} + {(4 - 3)}^{2}}$

Simplify.

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Multiply $- 1$ by $- 2$ .

$\sqrt{{(- 6 + 2)}^{2} + {(4 - 3)}^{2}}$

Add $- 6$ and $2$ .

$\sqrt{{(- 4)}^{2} + {(4 - 3)}^{2}}$

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

$\sqrt{16 + {(4 - 3)}^{2}}$

Subtract $3$ from $4$ .

$\sqrt{16 + 1^{2}}$

One to any power is one.

$\sqrt{16 + 1}$

Add $16$ and $1$ .

$\sqrt{17}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{17}$

Decimal Form:

$4.12310562 \dots$