Finite Math Examples

$(- 8, 7)$ , $(1, 7)$

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.

$\sqrt{{(1 - (- 8))}^{2} + {(7 - 7)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 8$ .

$\sqrt{{(1 + 8)}^{2} + {(7 - 7)}^{2}}$

Step 3.2

Add $1$ and $8$ .

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

Step 3.3

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

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

Step 3.4

Subtract $7$ from $7$ .

$\sqrt{81 + 0^{2}}$

Step 3.5

Raising $0$ to any positive power yields $0$ .

$\sqrt{81 + 0}$

Step 3.6

Add $81$ and $0$ .

$\sqrt{81}$

Step 3.7

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2}}$

Step 3.8

Pull terms out from under the radical, assuming positive real numbers.

$9$

Step 4