1. 1.1 Tables and Graphs of Linear Equations
Objective: To identify linear equations/relationships and to express them in a table/graph

2. Warm up

3. Warm up

4. Example 1

5. Example 1

6. Example 1

7. Example 1

8. Example 1

9. Example 1

10. You Try
Look at the problem on the middle of page 5. Try this with a partner or group.

11. You Try
Look at the problem on the middle of page 5. Try this with a partner or group.

12. You Try
Look at the problem on the middle of page 5. Try this with a partner or group.
W = m

13. You Try
Look at the problem on the middle of page 5. Try this with a partner or group.
W = m
d) = (20)

14. Linear Equation
The examples we just looked at have a characteristic in common. Each has the form:
total amount = variable amount + fixed amount

15. Linearly Related
The examples we just looked at have a characteristic in common. Each has the form:
total amount = variable amount + fixed amount
In general, if a relationship between x and y can be written as y = mx + b, where m and b are real numbers, then x and y are linearly related.

16. Linearly Related
The examples we just looked at have a characteristic in common. Each has the form:
total amount = variable amount + fixed amount
In general, if a relationship between x and y can be written as y = mx + b, where m and b are real numbers, then x and y are linearly related.
The equation y = mx + b is called a linear equation. The graph of a linear equation is a straight line.

17. Linearly Related
This leads to the following definition:

18. Linear
What makes an equation linear? It is the power (degree) or exponent of the x variable.

19. Linear
What makes an equation linear? It is the power (degree) or exponent of the x variable.
Linear or
Not linear

20. Example 2
Graph

21. Example 2
Graph
We will look at several ways to graph. For this example, we will pick numbers and plot points.

22. Example 2
Graph
We will look at several ways to graph. For this example, we will pick numbers and plot points.
x y

23. You Try
Try the example in the middle of page Compare your answers to someone sitting near you.

24. You Try
Try the example in the middle of page Compare your answers to someone sitting near you.
x y

25. Using a Table

26. Example 3

27. Example 3

28. Try This
Do the two problems in the middle of page 7.

29. Try This Do the two problems in the middle of page 7.
No. Not a constant difference for y.

30. Try This Do the two problems in the middle of page 7.
No. Not a constant difference for y.
Yes. There is a constant difference for each x and y term. The next x is -9 and the next y is 5.

32. Yes.

33. Class work
In groups/pairs, do problems 1-6 on pages 7-8.

34. Homework
Pages 8-9
7-39 odd, 51