Calculus Examples

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

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.

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

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 4$ .

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

Step 3.2

Add $- 6$ and $4$ .

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

Step 3.3

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

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

Step 3.4

Multiply $- 1$ by $- 3$ .

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

Step 3.5

Add $- 2$ and $3$ .

$\sqrt{4 + 1^{2}}$

Step 3.6

One to any power is one.

$\sqrt{4 + 1}$

Step 3.7

Add $4$ and $1$ .

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

Step 5