1. Representing Lenear Functions
Lesson 8.3 Page 410
Representing Lenear Functions
(Solving and graphing Linear Equations)
You need textbook, paper, graph
paper, pencil and
ruler (straight edge)

2. x Rule y (x,y) -1 1 The textbook says choose 4 values for X
Equation
x Rule y (x,y)
Look at chart on page 410
we will not rewrite the last
(x,y) -1 1
The textbook says
choose 4 values for X
We will only choose 3

3. y = mx + b
Linear means straight

4. Equation
x Rule y (x,y)
y = x + 2 -1 1

5. Equation
x Rule y (x,y)
y = 3x - 1 -1 1

6. Equation
x Rule y (x,y)
y = -2x + 5 -1 1

7. Questions?

8. 1. y = x + 7 2. y = 2x - 3 3. y = x + 5 4. y = -4x 5. y = 3x + 6
Using equations 1- 6 on Page 413
Make a "t" table
Use x = x = 0 and x = 1
Solve equation (3 times)
Graph
1. y = x + 7
2. y = 2x - 3
3. y = x + 5
4. y = -4x
5. y = 3x + 6
6. -x + y = 7

9. Assignment Page 413 You will.....
Make a chart using -1, 0 and 1 for x solving for y
Graph your solutions
Connect the points with a linear line
Problems and 16 - 23

10. Page 413
1. y = x + 7 y x

11. Page 413
1. y = x + 7 y x

12. Page 413
1. y = x + 7 y x

13. Page 413
1. y = x + 7 y x

14. Page 413
2. y = 2x - 3 y x

15. Page 413
2. y = 2x - 3 y x

16. Page 413
2. y = 2x - 3 y x

17. Page 413
2. y = 2x - 3 y x

18. Page 413
3. y = x + 5 y x

19. Page 413
3. y = x + 5 y x

20. Page 413
4. y = -4x y x

21. Page 413
4. y = -4x y x

22. Page 413
4. y = -4x y x

23. Page 413
4. y = -4x y x

24. Page 413
5. y = 3x + 6 y x

25. Page 413
5. y = 3x + 6 y x

26. Page 413
5. y = 3x + 6 y x

27. Page 413
5. y = 3x + 6 y x

28. Page 413
6. -x + y = 7 y x

29. We have completed 1 - 6
Solving and Graphing Functions
Next, Solve and Graph
Problems 17, 19, 21 and 23
Page 413

30. X Rule / Equation y (x,y)

31. X Rule / Equation y (x,y)

32. X Rule / Equation y (x,y)

33. X Rule / Equation y (x,y)

34. Page 412 Example 3
You can also solve the
equation y = mx + b by finding the x
intercept and the y intercept.
Let x = 0 and solve
Let y = 0 and solve

36. x y -2 (0) + y = 4 - 2x + 0 = 4 - 2x + y = 4 Let x = 0 and solve
Write the order pair
Let y = 0 and solve
x y
-2 (0) + y = 4
- 2x + 0 = 4

38. Lets do another one
x y
y = 0 - 4
0 = x - y
y = x - 4

39. y = x - 4
x y Y X

40. y = -4x Y X

41. Questions?

42. Assignment Page 413
Problems and
Solve using x = 0 and y = 0
Graph each problem

43. Page 414
x Rule/Equation y (x,y) Y X

44. Page 414
x Rule/Equation y (x,y) Y X

45. Page 414
x Rule/Equation y (x,y) Y X

46. Page 414
x Rule/Equation y (x,y) Y X