Calculus Examples

$(4, - 3)$ , $(2, - 8)$

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.

$\sqrt{{(2 - 4)}^{2} + {((- 8) - (- 3))}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $4$ from $2$ .

$\sqrt{{(- 2)}^{2} + {((- 8) - (- 3))}^{2}}$

Step 3.2

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

$\sqrt{4 + {((- 8) - (- 3))}^{2}}$

Step 3.3

Multiply $- 1$ by $- 3$ .

$\sqrt{4 + {(- 8 + 3)}^{2}}$

Step 3.4

Add $- 8$ and $3$ .

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

Step 3.5

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

$\sqrt{4 + 25}$

Step 3.6

Add $4$ and $25$ .

$\sqrt{29}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{29}$

Decimal Form:

$5.38516480 \dots$

Step 5