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# 1-6 Ordered Pairs and Relations - PowerPoint PPT Presentation

1-6 Ordered Pairs and Relations. How are ordered pairs used to graph real-life data?. Vocabulary. coordinate system (coordinate plane)– used to locate points in mathematics x-axis – the horizontal number line on the coordinate system y-axis – the vertical number line on the coordinate system

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### 1-6 Ordered Pairs and Relations

How are ordered pairs used to graph real-life data?

• coordinate system (coordinate plane)– used to locate points in mathematics

• x-axis – the horizontal number line on the coordinate system

• y-axis – the vertical number line on the coordinate system

• origin – is at (0,0); the point at which the number lines intersect

Coordinate System coordinate plane

coordinate plane

y-axis

x-axis

origin

Ordered Pair coordinate plane

x-coordinate

y-coordinate

Graphing an Ordered Pair coordinate plane

Graph (4,1) on a coordinate system.

Step Three: Since the y-coordinate is 1, move 1 unit up. Draw a dot.

Step Two: Since the x-coordinate is 4, move 4 units to the right.

Step One: Start at the origin.

Practice coordinate plane

to practice plotting points.

More Vocabulary coordinate plane

• relation – a set of ordered pairs

• domain – the set of x-coordinates

• range – the set of y-coordinates

The following is an example of a relation, or a set of ordered pairs.

The domain is (1,2,3,4)

The range is (2,4,0,5)

A relationship can be shown in several ways. ordered pairs.

• Graph

• Map

• Ordered Pairs

• Table

1

2

3

4

0

2

4

5

Express the following relation as a table. ordered pairs.

Express the following relation as a graph. ordered pairs.

Please state the ordered pairs.domain and range of the following relation:

Range: {0,1,3,2}

Domain: {0,2,1,5}

Please review the following example: ordered pairs.

• Some species of bamboo grow three feet in one day.

• Make a table of ordered pairs in which the x-coordinate represents the number of days and the y-coordinate represents the amount of growth for 1, 2, 3, and 4 days.

• Graph the ordered pairs.

• Describe the graph.

• The points appear to be in a line.