1. Graph the equation.

2. 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.

3. 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.

4. 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!

5. Step 5- Check your answer.x y

6. Solve the system by graphing.
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!

7. Step 5- Check your answer.x y

8. 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!

9. Step 5- Check your answer.x y

10. Solve the system by graphing.
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!

11. Step 5- Check your answer.x y

12. Number of Solutions for a Linear SystemC
One solution
No solution
Infinite solutions
(Parallel Lines)
(Same Lines)

13. 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. Class Work
Solve the system by graphing.