1. Today’s Target
To be able to find the
x and y intercepts of
an equation and graph
the equation using the
intercepts. (2 points)

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

3. What is the x & y intercepts
of this graph?
y
x
5
5
-5
-5
(0, 3)
1.)
y-intercept = 3 (3, 0)
x-intercept = 3

4. What is the x & y intercepts
of this graph?
y
x
5
5
y-intercept = -4 (-1, 0)
x-intercept = -1
-5
-5
(0, -4)
2.)

5. Finding 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 Let y = 0
y
x
5
5
-5
-5
(5, 0)
x + y = 5
x + (0) = 5
x = 5
x = 5

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

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

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

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

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

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

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

14. Finding X and Y intercepts
y
x
5
5
-5
-5
(0, -2)
(4, 0)
x - 2y = 4
x - 2(0) = 4
x = 4
x = 4
x - 2y = 4
(0) - 2y = 4
-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
Hint: Cover up
the 2x this
Solve for x and y.
Hint: Cover up
the 4y first.
time.
2x + 4y = 8 2x + 4y = 8
2x = 8
x = 4
4y = 8
y = 2
y
x
5
5
-5
-5

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