1. Class Greeting

2. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations has 0,1, or infinitely many solutions 2.Solve systems of equations by graphing

3. Objective: Students will review the slope- intercept equation. Students will be introduced to solving systems of equations using graphing.

4. System of 2 Linear Equations 3 possible types of solution – No solution – 1 solution – Infinite solutions

5. Example 1-2b Graph the system of equations. Does the system have infinitely many solutions, one solution, or no solution? If the system has one solution, name it. Answer: one solution; (x, y ) = (0, 3) 1 slope: m = 2 UP 2 OVER 1 y – intercept: b = 3 1 UP 1 2 OVER 2 slope: m =

6. Example 1-2a no solution Graph the system of equations. Does the system have infinitely many solutions, one solution, or no solution? If the system has one solution, name it. Answer: x 0 4 y -2 0 x 0 y 1 0 2

7. Example 1-2a infinitely many solutions Graph the system of equations. Does the system have infinitely many solutions, one solution, or no solution? If the system has one solution, name it. Answer: x 0– 3/2 y 3 0 x 0 y 3 0 3

8. Example 1-1a Use the graph to determine whether the system has no solution, one solution, or infinitely many solutions. Answer: one solution; (2, –1)

9. Example 1-1a Use the graph to determine whether the system has no solution, one solution, or infinitely many solutions. Answer: no solution

10. Example 1-1a Use the graph to determine whether the system has no solution, one solution, or infinitely many solutions. Answer: infinitely many solutions

11. Use the graph to determine whether each system has no solution, one solution, or infinitely many solutions. a. b. c. Example 1-1b Answer: one Answer: no solution Answer: infinitely many

12. Example 1-2b Answer: no solution Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

13. Lesson Summary: Objective: Students will review the slope- intercept equation. Students will be introduced to solving systems of equations using graphing.

14. Preview of the next Lesson: Objective: Students will solve real world word problems involving solving systems of equations using graphing.

15. Homework 446+447/3,7,11...31

16. Stand Up Please