Finite Math Examples

$(- 2, - 1)$ , $(4, - 8)$

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.

$\sqrt{{(4 - (- 2))}^{2} + {((- 8) - (- 1))}^{2}}$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Multiply $- 1$ by $- 2$ .

$\sqrt{{(4 + 2)}^{2} + {((- 8) - (- 1))}^{2}}$

Step 3.2

Add $4$ and $2$ .

$\sqrt{6^{2} + {((- 8) - (- 1))}^{2}}$

Step 3.3

Raise $6$ to the power of $2$ .

$\sqrt{36 + {((- 8) - (- 1))}^{2}}$

Step 3.4

Multiply $- 1$ by $- 1$ .

$\sqrt{36 + {(- 8 + 1)}^{2}}$

Step 3.5

Add $- 8$ and $1$ .

$\sqrt{36 + {(- 7)}^{2}}$

Step 3.6

Raise $- 7$ to the power of $2$ .

$\sqrt{36 + 49}$

Step 3.7

Add $36$ and $49$ .

$\sqrt{85}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{85}$

Decimal Form:

$9.21954445 \dots$

Step 5