1. LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You can use either an ( x, y ) table, or slope – intercept to graph your lines. INTERSECTION POINT ( x, y )

2. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations :

3. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

4. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 xy

5. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 45 xy

6. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 45 xy

7. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 45 xy 0- 3

8. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 45 xy 0- 3 1- 1

9. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 45 xy 0- 3 1- 1 INTERSECTION POINT ( 4, 5 )

10. LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : INTERSECTION POINT ( 4, 5 ) CHECK

11. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations :

12. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

13. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 0 xy

14. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 xy

15. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 38 xy

16. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 38 xy

17. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 38 xy 01

18. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 38 xy 01 10

19. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 38 xy 01 10

20. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 38 xy 01 10 INTERSECTION POINT ( – 3, 4 )

21. LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : INTERSECTION POINT ( – 3, 4 ) CHECK

22. LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations :

23. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

24. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

25. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

26. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

27. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

28. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

29. LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

30. LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations : I will use slope – intercept on this one…

31. LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations : I will use slope – intercept on this one… INTERSECTION POINT ( 2, – 1 )

32. LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations : I will use slope – intercept on this one… INTERSECTION POINT ( 2, – 1 ) CHECK