# Lesson 6.0: Ordered Pairs

## Review

The standing alone rule states that a letter or unbroken sequence of letters is standing alone if the symbols before and after the letter or sequence are spaces, hyphens, or dashes. A letter or unbroken sequence of letters is also standing alone when certain common punctuation symbols intervene between the letter or letters-sequence and the preceding and/or following space, hyphen or dash. The round parentheses and the comma are included in the list of certain common symbols.

## Explanation

An ordered pair is 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. All symbols are brailled as they appear in print.

### Example 1

$\left(4,5\right)$

⠐⠣⠼⠙⠂⠀⠼⠑⠐⠜

A grade 1 indicator is used with the letters in Example 2 because the letters meet the criteria for standing alone. The letters need to be distinguished from their grade 2 meaning.

### Example 2

$\left(x,y\right)$

⠐⠣⠰⠭⠂⠀⠰⠽⠐⠜

### Example 3

$\left({}^{-}3,{}^{+}2\right)$

⠐⠣⠰⠔⠐⠤⠼⠉⠂⠀⠰⠔⠐⠖⠼⠃⠐⠜

### Example 4

$\left(-3,\mathrm{+2}\right)$

⠐⠣⠐⠤⠼⠉⠂⠀⠐⠖⠼⠃⠐⠜

### Example 5

$\left(x+4,3\mathrm{y-1}\right)$

⠐⠣⠭⠐⠖⠼⠙⠂⠀⠼⠉⠽⠐⠤⠼⠁⠐⠜

### Example 6

$B\left(-4,2\right)$

⠠⠃⠐⠣⠐⠤⠼⠙⠂⠀⠼⠃⠐⠜

### Example 7

$\left(1,1\right),\phantom{\rule{.3em}{0ex}}\left(2,2\right),\phantom{\rule{.3em}{0ex}}\left(3,3\right)$

⠐⠣⠼⠁⠂⠀⠼⠁⠐⠜⠂⠀⠐⠣⠼⠃⠂⠀⠼⠃⠐⠜⠂⠀⠐⠣⠼⠉⠂⠀⠼⠉⠐⠜

### Example 8

$\text{How do you plot the point}\phantom{\rule{.3em}{0ex}}\left(5,7\right)\text{?}$

⠠⠓⠪⠀⠙⠀⠽⠀⠏⠇⠕⠞⠀⠮⠀⠏⠕⠔⠞⠀⠐⠣⠼⠑⠂⠀⠼⠛⠐⠜⠦