# Ordered pair - Examples, Exercises and Solutions

As we have already learned, Coordinate System has two axes and, therefore, any value defined by this coordinate system must include two values. These two values are called "ordered pairs".

## What is an ordered pair?

An ordered pair is a pair of numbers that "belong" to a function.

An ordered pair is generally represented in parentheses $(X, Y)$ where the value on the left within the parentheses $X$ represents the solution, while the value on the right within the parentheses $Y$ represents the function value, that is, the result.

• When the function is represented by an equation, then $X$ is the value placed in the equation, while $Y$ is the result obtained.
• When the function is represented through a graph, each point on the graph is essentially an ordered pair. That is, if we move vertically from the point to the $X$ axis (the axis runs from left to right), we obtain the value on the left within the parentheses. Conversely, if we move from the point vertically to the $Y$ axis (the axis that goes from bottom to top), we obtain the correct value within the parentheses.

An ordered pair represents virtually all the points on the function graph

## Practice Ordered pair

### Exercise #1

Which figure shows the following points?

$(-4,4),(-2,2),(-4,-2)$

### Exercise #2

Choose the figure that shows the following points:

$(2,-2),(-4,0),(0,3)$

### Exercise #3

Choose the figure that shows the following points:

$(2,0),(2,4),(6,-2)$

### Exercise #4

Choose the appropriate drawing where the dots appear:

$(6,6),\lparen-3,0)$

### Exercise #5

Choose the appropriate drawing where the dots appear:

$(1,0),\lparen-2,-2),(-5,4)$

### Exercise #1

Choose the appropriate drawing where the dots appear:

$(1,3),\lparen2,5),(3,3)$

### Exercise #2

Choose the appropriate drawing where the dots appear:

$(-5,1),\lparen7,0),(-4,-1)$