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# Lesson 5.4: Ordered Pairs

## Symbols

$\text{( left parenthesis}$

$\text{) right parenthesis}$

## Explanation

An ordered pair is just a pair of numbers used to locate a point on the coordinate plane. Ordered pairs typically have the following form: open parenthesis, x-coordinate, comma, space, y-coordinate, close parenthesis. The x-coordinate describes the horizontal orientation and the y-coordinate describes the vertical orientation. Ordered pairs can have numbers, letters, expressions, or other mathematical symbols. Neither the numeric indicator or the English letter indicator are used inside the parentheses when brailling an ordered pair. In some cases the ordered pair may stand alone, be part of a list, or be accompanied by an identifying letter. In addition, when single coordinate values are positive, they usually do not display the positive or plus symbol. Thus, positive four would just be 4.

### Example 1

$\left(1,\phantom{\rule{.3em}{0ex}}2\right)$
⠷⠂⠠⠀⠆⠾

### Example 2

$\left(m,\phantom{\rule{.3em}{0ex}}n\right)$
⠷⠍⠠⠀⠝⠾

### Example 3

$\left({}^{-}6, {}^{+}3\right)$
⠷⠘⠤⠐⠖⠠⠀⠘⠬⠐⠒⠾

### Example 4

$\left(-6,\phantom{\rule{.3em}{0ex}}+3\right)$
⠷⠤⠖⠠⠀⠬⠒⠾

### Example 5

$\left(x+6,\phantom{\rule{.3em}{0ex}}2y-3\right)$
⠷⠭⠬⠖⠠⠀⠆⠽⠤⠒⠾

### Example 6

$B\left(-6,\phantom{\rule{.3em}{0ex}}3\right)$
⠠⠃⠷⠤⠖⠠⠀⠒⠾

### Example 7

$\left(1,\phantom{\rule{.3em}{0ex}}1\right),\phantom{\rule{.3em}{0ex}}\left(2,\phantom{\rule{.3em}{0ex}}2\right),\phantom{\rule{.3em}{0ex}}\left(3,\phantom{\rule{.3em}{0ex}}3\right)$
⠷⠂⠠⠀⠂⠾⠠⠀⠷⠆⠠⠀⠆⠾⠠⠀⠷⠒⠠⠀⠒⠾

### Example 8

$\text{Describe how to plot the point}\phantom{\rule{.3em}{0ex}}\left(2,6\right)\text{.}$
⠠⠙⠑⠎⠉⠗⠊⠃⠑⠀⠓⠕⠺⠀⠞⠕⠀⠏⠇⠕⠞⠀⠞⠓⠑⠀⠏⠕⠊⠝⠞⠀⠸⠩⠀⠷⠆⠠⠀⠖⠾⠀⠸⠱⠦