1. Warm-up
Make a T-Table and graph the equation
y = 2x + 2 x y -2 -2 -1 2 1 4 2 6

2. Finding X and Y intercepts
What is an intercept? y x 5 -5
Where the line crosses the y-axis.
y-intercept = 3
(0, 3)
(4, 0)
x-intercept = 4
Where the line crosses the x-axis.

3. In your notes: y-intercept = 3 x-intercept = 3 1.) (0, 3) (3, 0) y x5 -5
(0, 3)
y-intercept = 3
(3, 0)
x-intercept = 3

4. In your notes: y-intercept = -4 x-intercept = -1 2.) (-1, 0) (0, -4) y5 -5
y-intercept = -4
(-1, 0)
x-intercept = -1
(0, -4)

5. X and Y Intercepts Plug in 0 for y – this is the x-intercept
Plug in 0 for x – this is the y-intercept

6. Finding X intercepts
x + y = 5
x + (0) = 5 y x 5 -5
x = 5
x = 5
(5, 0)

7. Finding X intercepts x - 3y = 7 x - 3(0) = 7 x = 7 x = 7 (7, 0) y x -5

8. Finding X intercepts 6x + 12y = 36 6x + 12(0) = 36 6x = 36 6 6 x = 65 -5
6x = 36 6 6
(6, 0)
x = 6

9. Finding Y intercepts y = -3x - 4 y = -3(0) - 4 y = -4 y = -4 (0, -4) y5 -5
y = -4
y = -4
(0, -4)

10. Finding Y intercepts -3x + 6y = 18 -3(0) + 6y = 18 6y = 18 6 6 y = 35 -5
6y = 18
(0, 3) 6 6
y = 3

11. Finding Y intercepts y = ½ x + 6 y = ½ (0) + 6 y = 6 y = 6 (0, 6) y x5 -5
y = 6
y = 6

12. Finding X and Y intercepts
2x + 3y = 6
2x + 3(0) = 6
2x = 6 y x 5 -5 2 2
(0, 2)
x = 3
(3, 0)
2x + 3y = 6
2(0) + 3y = 6
3y = 6 3 3
y = 2

13. Finding X and Y intercepts
4x + 8y = 16
4x + 8(0) = 16
4x = 16 y x 5 -5 4 4
(0, 2)
x = 4
(4, 0)
4x + 8y = 16
4(0) + 8y = 16
8y = 16 8 8
y = 2

14. Finding X and Y intercepts
x - 2y = 4
x - 2(0) = 4
x = 4 y x 5 -5
x = 4
(4, 0)
x - 2y = 4
(0) - 2y = 4
(0, -2)
-2y = 4 -2 -2
y = -2

15. Finding x and y intercepts
Find the x-intercept of the line
- 3x + 2y = 9
X-intercept MEANS y = 0

16. Finding x and y intercepts
Find the y-intercept of the line
- 3x + 2y = 9
y-intercept MEANS x = 0

17. Cover up method x = 4 y = 2 Solve for x and y. 2x + 4y = 8 2x + 4y = 8
Hint: Cover up the 4y first.
Hint: Cover up the 2x this time.
Solve for x and y.
2x + 4y = 8
2x + 4y = 8
2x = 8
4y = 8 y x 5 -5
x = 4
y = 2

18. Use the Cover Up Method - 6x – 4y = 2 -6x = 2 x = -1/3 6x – 4y = 2
(-1/3, -1/2) y x 5 -5