1. Graphing linear equationsBy
Robert O. Mills Jr.
Hermitage High School
Henrico County Public Schools

2. Part Three
Graphing

3. After you have discovered a relation of at least 3 ordered pairs you may now graph the linear equation.

4. Given the solution :
y=x+4

5. Create a t-table with the domain (x values) as {-1,0,1}.y 3 4 5 -1 1

6. Place the points on a graph.y x -1 1 3 4 5

7. Add additional points to the graph.

8. Draw a line connecting all the points.

9. y=4-x
New solution:
Plot table and graph points. x y -1 1 5 4 3

10. Add additional points to the graph.

11. Draw a line connecting all the points.

12. y=x-4
New solution:
Plot table and graph points. x y -1 1 -5 -4 -3

13. Add additional points to the graph.

14. Draw a line connecting all the points.

15. New solution:
Plot table and graph points. x y -1 1
2.5 2
1.5

16. Add additional points to the graph.

17. Draw a line connecting all the points.

18. New solution:
Plot table and graph points. x y -1 1 -3 -2

19. Add additional points to the graph.

20. Draw a line connecting all the points.

21. Please note the following:
All linear equations graph to a line.
When +x is in the final solution the line increases in value (goes up).
When -x is in the final solution the line decreases in value (goes down).
The value of y when the value of x=0 is the point where the line crosses the y axis. (y intercept)