1. Bell Work 1/28/15
Graph the equation.

2. Yesterday’s Homework Any questions?
Please pass your homework to the front.
Make sure the correct heading is on your paper.
Is your NAME on your paper?
Make sure the homework is 100% complete.
Incomplete work will NOT be accepted.

3. Systems of Equations and Inequalities
Next Chapter
Chapter 6
Systems of Equations and Inequalities

4. Solving Systems by Graphing (y = mx+b)
Heading
10/13/2019
Solving Systems by Graphing (y = mx+b)
TSWBAT: solve a linear system by graphing when in slope-intercept form.
Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

5. Notes Definitions Linear System (or System of Equations)
= Two or more equations with the same variables
Solution of a Linear System
= The point where the two lines cross/intersect.
-Must make BOTH equations TRUE!
Point of Intersection
= The solution of the linear system.

6. Notes Solving a System of Equations by Graphing
1. Write each equation into slope-intercept form.
What is m and b?
m = move
b = beginning
2. Graph both equations in the same coordinate plane.
3. Find the point of intersection.
4. Check your answer.
- Plug that point into both equations and make sure that it is true for both.

7. Notes Solve the system by graphing. Ex.
1) Put in slope- intercept form.
2) Graph the equations.
- Find m and b first.
3) Point of intersection?
4) Check answer!

8. Notes
Step 5- Check your answer. x y

9. Notes Solve the system by graphing. Ex.
Now you try.
Solve the system by graphing.
Ex.
1) Put in slope- intercept form.
2) Graph the equations.
- Find m and b first.
3) Point of intersection?
4) Check answer!

10. Notes
Step 5- Check your answer. x y

11. Notes Solve the system by graphing. Ex.
1) Put in slope- intercept form.
2) Graph the equations.
- Find m and b first.
3) Point of intersection?
4) Check answer!

12. Notes
Step 5- Check your answer. x y

13. Notes Solve the system by graphing. Ex.
Now you try.
Solve the system by graphing.
Ex.
1) Put in slope- intercept form.
2) Graph the equations.
- Find m and b first.
3) Point of intersection?
4) Check answer!

14. Notes
Step 5- Check your answer. x y

15. Notes Number of Solutions for a Linear System A B C One solution
No solution
Infinite solutions
(Parallel Lines)
(Same Lines)

16. Notes Solve the system by graphing. Ex.
1) Put in slope- intercept form.
2) Graph the equations.
- Find m and b first.
3) Point of intersection?
4) Check answer!

17. Summary
To solve a linear system by ________ first graph each equation separately. Next identify the __________ of both lines and circle it. That ordered pair is the _______ to the system. Check your answer by plugging it back into the ______ of equations.
graphing
intersection
solution
system

18. Today’s Homework Rules for Homework Pencil ONLY.
Must show all of your work.
NO WORK = NO CREDIT
Must attempt EVERY problem.
Always check your answers.

19. Homework 6.1A
Solve the system by graphing.

20. Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Solve the system by graphing.