This document discusses how to graph linear relationships from tables of ordered pairs and how to write tables from linear graphs. It provides examples of graphing lines from tables with corresponding x and y values plotted as ordered pairs. The document also demonstrates how to find points on a graph that intersect the grid and write them as ordered pairs to construct a table from a linear graph. Finally, it notes that any data format (sequence, table, graph) can be used to determine the other two representations of a linear relationship.

1. 1.3 Linear Graphs

2. Graphing Lines from a
Table
• Corresponding x and y values from the
table make ordered pairs.
• Plot them on the graph.
▫ x moves left/right
▫ y moves up/down
• Connect with a straight line.
• Don’t forget arrows at the ends!

3. Example 1
• Graph: x -1 0 1 2
y 6 4 2 0

4. You Try!
• Graph:
x y
-6 6
-3 5
0 4
3 3
6 2

5. Writing a Table from a Graph
• Find points on the line that cross
exactly on the grid.
YES! NO!
•Write them as ordered pairs.
•Working from left to right, transfer x and
y values to a table.

6. Example 2
• Fill in the table for the graph shown.
x y

7. You Try!
• Fill in the table for the graph shown.
x y

8. Sequences, Tables, and Graphs
• Given any format, you can find the other
two!
• From sequence:
make table first, then graph
• From table:
use it to write sequence and graph
• From graph:
make table first, then sequence

9. Example 3
• Sequence: 1, 3, 5, 7, …
x
y

10. Example 4
• Sequence:
x 0 2 4 6
y -5 -3 -1 1

11. Example 5
• Sequence:
x
y