Main Idea

New Vocabulary

NGSSS

Example 1:Name an Ordered Pair

Example 2:Name an Ordered Pair

Example 3:Graph Ordered Pairs

Example 4:Graph Ordered Pairs

Key Concept:Relations

Example 5:Relations as Tables and Graphs

Example 6:Real-World Example: Relations as Tables and Graphs

Five-Minute Check

• Graph rational numbers on the coordinate plane and use the coordinate plane to represent relations.

• coordinate plane

• origin

• y-axis

• x-axis

• quadrants

• ordered pair

• x-coordinate

• y-coordinate

• relation

• domain

• range

MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.

Name an Ordered Pair

Name the ordered pair for point A.

● Start at the origin.

● Move right to find the x-coordinate of Point A,which is 2.

● Move up to find the y-coordinate, which is

Answer: So, the ordered pair for Point A is

Name the ordered pair for point A.

A.

B.

C.

D.

Name the ordered pair for point B.

Name an Ordered Pair

● Start at the origin.

● Move left to find the

x-coordinate of Point B,

which is –2

● Move down to find the y-coordinate, which is –2.

Answer: So, the ordered pair for Point B is .

Name the ordered pair for point B.

A.

B.

C.

D.

Graph Ordered Pairs

Graph J(–3, 2.75) on a coordinate plane.

● Start at the origin and move 3 units left. Thenmove up 2.75 units.

● Draw a dot and label itJ(–3, 2.75).

Graph Ordered Pairs

Answer:

Graph M(–2, –3.25) on a coordinate plane.

A. B.

C. D.

Graph Ordered Pairs

● Start at the origin and

move 4 units right. Then

move down or

1.25 units.

Graph on a coordinate plane.

● Draw a dot and label it

Graph Ordered Pairs

Answer:

Graph on a coordinate plane.

A. B.

C. D.

Relations as Tables and Graphs

Express the relation {(4, 2), (6, –1), (5, –3), (–2, –3)}as a table and a graph. Then state the domain andrange.

Place the ordered pairs in a table with x-coordinates in the first column and the y-coordinates in the second column.

Relations as Tables and Graphs

Answer: The domain is {–2, 4, 5, 6}. The range is {–3, –1, 2}.

Graph the ordered pairs on a coordinate plane.

State the domain and range of the relation {(3, 5), (–4, 0), (2, –8), (6, 1)}.

A. domain: {–4, 2, 3, 6}; range: {–8, 0, 1, 5}

B. domain: {2, 3, 4, 6}; range: {0, 1, 5, 8}

C. domain: {–8, 0, 1, 5}; range: {–4, 2, 3, 6}

D. domain: {3, –4, 2, 6}; range: {5, –8, 1}

A. PIES Mike is buying pies for a party. The price for 1 pie is $4.

Make a table of ordered pairs in which the x-coordinate represents the number of pies and the y-coordinate represents the total cost for 2, 3, 4, and 5 pies.

Relations as Tables and Graphs

Answer:

B. PIES Mike is buying pies for a party. The price for 1 pie is $4.

Graph the ordered pairs.

Relations as Tables and Graphs

Answer:

A. RINGTONES Caden can download ringtones for his cellular phone for $2.00 each. Make a table of ordered pairs in which the x-coordinate represents the number of ringtones and the y-coordinate represents the total cost for 2, 3, 4, and 5 ringtones.

A. B.

C. D.

B. RINGTONES Caden can download ringtones for his cellular phone for $2.00 each. Graph the ordered pairs in which the x-coordinate represents the number of ringtones and the y-coordinate represents the total cost for 2, 3, 4, and 5 ringtones.

A. B.

C. D.

Name the ordered pair for point A.

A. (–4, 0)

B. (–2, –1)

C.

D. (0, 2)

Name the ordered pair for point B.

A. (–4, 0)

B. (–2, –1)

C.

D. (0, 2)

Name the ordered pair for point C.

A. (–4, 0)

B. (–2, –1)

C.

D. (0, 2)

Name the ordered pair for point D.

A. (–4, 0)

B. (–2, –1)

C.

D. (0, 2)

State the domain and range of the relation. {(3, 6), (–1, 0), (2, 6), (–4, –5)}

A. domain: {–4, –1, 2, 3}; range: {–5, 0, 6}

B. domain: {–5, 0, 6}; range: {–4, –1, 2, 3}

C. domain: {1, 2, 3, 4}; range: {0, 5, 6}

D. domain: {–1, 2, 3}; range: {–5, 0, 6}

The points W(–3, 5), X(5, 5), and Y(5, –2) lie on a coordinate plane. Points W, X, Y, and Z form a rectangle. What are the coordinates of point Z?

A. (–3, –5)

B. (–5, –3)

C. (–3, –2)

D. (–2, –3)