Finite Math Examples

$(5, 6)$ , $(- 4, 7)$

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.

$\sqrt{{((- 4) - 5)}^{2} + {(7 - 6)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $5$ from $- 4$ .

$\sqrt{{(- 9)}^{2} + {(7 - 6)}^{2}}$

Step 3.2

Raise $- 9$ to the power of $2$ .

$\sqrt{81 + {(7 - 6)}^{2}}$

Step 3.3

Subtract $6$ from $7$ .

$\sqrt{81 + 1^{2}}$

Step 3.4

One to any power is one.

$\sqrt{81 + 1}$

Step 3.5

Add $81$ and $1$ .

$\sqrt{82}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{82}$

Decimal Form:

$9.05538513 \dots$

Step 5