Basic Math Examples

(- 1, 6)

$(- 1, 6)$ ,

(5, - 2)

$(5, - 2)$

Step 1

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

\sqrt{{(5 - (- 1))}^{2} + {((- 2) - 6)}^{2}}

$\sqrt{{(5 - (- 1))}^{2} + {((- 2) - 6)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

\sqrt{{(5 + 1)}^{2} + {((- 2) - 6)}^{2}}

$\sqrt{{(5 + 1)}^{2} + {((- 2) - 6)}^{2}}$

Step 3.2

Add

5

$5$ and

1

$1$ .

\sqrt{6^{2} + {((- 2) - 6)}^{2}}

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

Step 3.3

Raise

6

$6$ to the power of

2

$2$ .

\sqrt{36 + {((- 2) - 6)}^{2}}

$\sqrt{36 + {((- 2) - 6)}^{2}}$

Step 3.4

Subtract

6

$6$ from

- 2

$- 2$ .

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

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

Step 3.5

Raise

- 8

$- 8$ to the power of

2

$2$ .

\sqrt{36 + 64}

$\sqrt{36 + 64}$

Step 3.6

Add

36

$36$ and

64

$64$ .

\sqrt{100}

$\sqrt{100}$

Step 3.7

Rewrite

100

$100$ as

10^{2}

$10^{2}$ .

\sqrt{10^{2}}

$\sqrt{10^{2}}$

Step 3.8

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

10

$10$

10

$10$

Step 4