Algebra Examples

$(- 1, 6)$ , $(0, 1)$

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.

$\sqrt{{(0 - (- 1))}^{2} + {(1 - 6)}^{2}}$

Step 3

Simplify.

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Multiply $- 1$ by $- 1$ .

$\sqrt{{(0 + 1)}^{2} + {(1 - 6)}^{2}}$

Add $0$ and $1$ .

$\sqrt{1^{2} + {(1 - 6)}^{2}}$

One to any power is one.

$\sqrt{1 + {(1 - 6)}^{2}}$

Subtract $6$ from $1$ .

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

Raise $- 5$ to the power of $2$ .

$\sqrt{1 + 25}$

Add $1$ and $25$ .

$\sqrt{26}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{26}$

Decimal Form:

$5.09901951 \dots$

Step 5