Finite Math Examples

$(3, - 5)$ , $(6, 3)$

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.

$\sqrt{{(6 - 3)}^{2} + {(3 - (- 5))}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $3$ from $6$ .

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

Step 3.2

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

$\sqrt{9 + {(3 - (- 5))}^{2}}$

Step 3.3

Multiply $- 1$ by $- 5$ .

$\sqrt{9 + {(3 + 5)}^{2}}$

Step 3.4

Add $3$ and $5$ .

$\sqrt{9 + 8^{2}}$

Step 3.5

Raise $8$ to the power of $2$ .

$\sqrt{9 + 64}$

Step 3.6

Add $9$ and $64$ .

$\sqrt{73}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{73}$

Decimal Form:

$8.54400374 \dots$

Step 5