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# Generating Patterns and Graphing Relationships

Consider the table given below.

x |
y |

1 | 3 |

2 | 4 |

3 | 5 |

4 | 6 |

Let's find the relationship between *x* and *y*.

Observe that:

Row 1: 1 **+ 2 **= 3

Row 2: 2 **+ 2** = 4

Row 3: 3 **+ 2 **= 5

Row 4: 4 **+ 2 **= 6

So, *x* + 2 = *y*.

**The rule or the function is y = x + 2.**

Now, let's find the ordered pairs and draw the graph.

Each row in the table represents an ordered pair.

An **ordered pair **(*x*, *y*) tells the location of a point on the coordinate plane.

The ** x-coordinate (x-value)** tells the distance of the point from the origin in the horizontal direction. The

**tells the distance of the point from the origin in the vertical direction.**

*y*-coordinate (*y*-value)

The ordered pairs for the given *x*- and *y*-values are **(1, 3), (2, 4), (3, 5), and (4, 6)**.

Now, plot a point for each ordered pair.

First plot the point (1, 3). Start at (0, 0) and move 1 unit right and 3 units up.

Similarly, plot the other points.

Then, draw a line passing through these points. The line represents all ordered pairs that follow the rule.

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### Help

The correct answer is

##### Remember :

The smallest number is the one that comes first while counting.

##### Solution :

To arrange the given numbers in order from smallest to greatest, find the smallest number among all the given numbers.

21,27,23

21 is the smallest number.