1. 2.2: Graphing a linear equation

2. An equation for which the graph is a line
Linear Equation
An equation for which the graph is a line

3. Any ordered pair of numbers that makes a linear equation true.
Solution
Any ordered pair of numbers that makes a linear equation true.
(9,0) IS ONE SOLUTION
FOR Y = X - 9

4. Linear Equation
Example:
y = x + 3

5. Graphing Using the 3 point method
Step 1:

6. Find solutions using table
Step 2:
Find solutions using table
y = x + 3
X | y 1 2

7. Graph the points from the table
Step 3:
Graph the points from the table
(0,3) (1,4) (2,5)

8. Step 4: Draw a line to connect them

9. Graph using a table (3 point method)
Try These
Graph using a table (3 point method)
1) y = x + 3
2) y = x - 4

10. Graph using a table (3 point method)
Try These
Graph using a table (3 point method)
3) y = 1/3x – 2
4) 2x + 4y = 8

11. Find and graph the x and y intercepts and connect the two points
Graphing Using the intercept method
Find and graph the x and y intercepts and connect the two points

12. Step 1:

13. Step 2:

14. Step 3:

15. Step 4:
Connect the points to make a line

16. Graph using intercept method
Try These
Graph using intercept method
1) y = x + 3
2) y = x - 4

17. Graph using the intercept method
Try These
Graph using the intercept method
3) y = 1/3x – 2
4) 2x + 4y = 8

18. Slope Intercept method
This method only works if the equation is in slope-intercept form

19. Slope Intercept method
This method only works if the equation is in slope-intercept form

20. Slope-Intercept
y = mx + b
m = slope
b = y-intercept

21. Step 1:

22. Step 2:

23. Step 3:

24. Step 4:

25. Step 5:

26. Graph using slope intercept method
Try These
Graph using slope intercept method
1) y = x + 3
2) y = x - 4

27. Graph using slope-intercept method
Try These
Graph using slope-intercept method
3) y = 1/3x – 2
4) 2x + 4y = 8