1. Algebra 1 Notes Lesson 4-5: Graphing Linear Equations

2. 1) Can be written in standard form
Vocabulary
Linear Equation
1) Can be written in standard form
2) Exponents of variables are 1

3. Standard Form Ax + By = C A ≥ 0 A and B are not both zero
A, B, and C are integers that cannot be reduced

4. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 1
-3x + 4y = 10

5. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 1
-3x + 4y = 10 NO

6. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 1
-3x + 4y = 10 NO
Why not?

7. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 2
0x + 0y = 20

8. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 2
0x + 0y = 20 No

9. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 2
0x + 0y = 20 No
Why not?

10. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 3
10x + 2y = 6

11. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 3
10x + 2y = 6 No

12. “IS THIS….. In standard form?!?!?!”
GAME TIME!!!!
“IS THIS….. In standard form?!?!?!”
Round 3
10x + 2y = 6 No
Why not?

13. “IS THIS….. A linear equation”
NEW GAME!!!!!
“IS THIS….. A linear equation”
If so, write it in standard form
Round 1
5x + 3y = z + 2

14. 5x + 3y = z + 2
Not a linear equation

15. Round 2
linear

16. Round 3

17. Round 3
Linear!

18. Example 2 Graph by making an xy chart Solve for x or y
Plug in 3 numbers for other variable (be smart)
Graph points

19. Example 2 X Y -2 -1 1 2

20. Example 2 X Y -2 -1 1 2

21. Example 2 X Y
-14 -2 -1 1 2

22. Example 2 X Y
-14 -2 -1 1 2

23. Example 2 X Y
-14 -2
-10 -1 1 2

24. Example 2 X Y
-14 -2
-10 -1 1 2

25. Example 2 X Y
-14 -2
-10 -1 -6 1 2

26. Example 2 X Y
-14 -2
-10 -1 -6 1 2

27. Example 2 X Y
-14 -2
-10 -1 -6 1 2

28. Example 2 X Y
-14 -2
-10 -1 -6 1 2

29. Example 2 X Y
-14 -2
-10 -1 -6 1 2

30. Example 2

31. Homework
Pg 221
16 – 40 (even)

32. Vocabulary
x-intercept – Where line crosses x axis
y-intercept – Where line crosses y axis

33. Graph using intercepts
-Second method of graphing a line
Advantages
Disadvantages

34. Graph using intercepts
-Second method of graphing a line
Advantages
Quick
Disadvantages

35. Graph using intercepts
-Second method of graphing a line
Advantages
Quick
2) Easy
Disadvantages

36. Graph using intercepts
-Second method of graphing a line
Advantages
Quick
2) Easy
Disadvantages
One mistake ruins it

37. Graph using intercepts
-Second method of graphing a line
Advantages
Quick
2) Easy
Disadvantages
One mistake ruins it
Can not graph a line through origin

38. Example 3 4x – y = 4 To find the x-intercept, let y = 0. 4x – 0 = 4

39. Example 3
To find the x-intercept, let y = 0.
4x – 0 = 4
4x =

40. Example 3 To find the x-intercept, let y = 0. 4x – 0 = 4
4x = x = 1

41. Example 3
To find the x-intercept, To find the y-intercept, let y = let x = 0.
4x – 0 = 4
4x = x = 1

42. Example 3
To find the x-intercept, To find the y-intercept, let y = let x = 0.
4x – 0 = 4 4(0) – y = 4
4x = x = 1

43. Example 3
To find the x-intercept, To find the y-intercept, let y = let x = 0.
4x – 0 = 4 4(0) – y = 4
4x = – y = x = 1

44. Example 3
To find the x-intercept, To find the y-intercept, let y = let x = 0.
4x – 0 = 4 4(0) – y = 4
4x = – y = y = 4 x = 1

45. Example 3
To find the x-intercept, To find the y-intercept, let y = let x = 0.
4x – 0 = 4 4(0) – y = 4
4x = – y = y = x = 1

46. Example 3
To find the x-intercept, To find the y-intercept, let y = let x = 0.
4x – 0 = 4 4(0) – y = 4
4x = – y = y = x = y = -4

47. Example 3
The x-intercept is 1, so the graph intersects the x-axis at

48. Example 3
The x-intercept is 1, so the graph intersects the x-axis at (1, 0).
The y-intercept is -4, so the graph intersects the y-axis at

49. Example 3
The x-intercept is 1, so the graph intersects the x-axis at (1, 0).
The y-intercept is -4, so the graph intersects the y-axis at (0, -4).

50. Example 3

51. Homework
Pgs : Evens
Graph with intercepts
46 – 53 (all)