1. X and Y Intercepts

2. The y intercept is the point at which the graph of an equation crosses the y axis.
y = 2x + 3 y
(0,3) x

3. The y intercept is the point at which the graph of an equation crosses the y axis.
y = 2x + 3 y
Notice that the x value is zero.
(0,3) x

4. The x intercept is the point at which the graph of an equation crosses the x axis.
y = 2x + 3 y
(-3/2 ,0) x

5. The x intercept is the point at which the graph of an equation crosses the x axis.
y = 2x + 3 y
(-3/2 ,0) x
Notice that the y value is zero.

6. Example #1 Find the y and x intercepts. Then graph the line.
y = 2x + 6

7. Example #1 Find the y and x intercepts. Then graph the line.
y = 2x + 6
y intercept y = 2(0) + 6 y = 6 (0,6)

8. Example #1 Find the y and x intercepts. Then graph the line.
y = 2x + 6
y intercept y = 2(0) + 6 y = 6 (0,6)
x intercept 0 = 2x + 6 x = -3 (-3,0)

9. Example #1 Find the y and x intercepts. Then graph the line.
y = 2x + 6 y
(0,6)
(-3,0) x

10. Example #1 Find the y and x intercepts. Then graph the line.
y = 2x + 6 y
(0,6)
(-3,0) x

11. Example #2 Find the y and x intercepts. Then graph the line.
y = 3x + 12

12. Example #2 Find the y and x intercepts. Then graph the line.
y = 3x + 12
y intercept y = 3(0) y = 12 (0,12)

13. Example #2 Find the y and x intercepts. Then graph the line.
y = 3x + 12
y intercept y = 3(0) y = 12 (0,12)
x intercept 0 = 3x x = -4 (-4,0)

14. Example #2 Find the y and x intercepts. Then graph the line.
y = 3x + 12 y
(0,12)
(-4,0) x

15. Example #2 Find the y and x intercepts. Then graph the line.
y = 3x + 12 y
(0,12)
(-4,0) x

16. Practice Time

17. For each function, find the x and y intercepts. Then graph the line.

18. 1) y = ½ x + 4

19. 1) y = ½ x + 4 y intercept y = ½ (0) + 4 y = 4 (0,4)
x intercept 0 = ½ x + 4 x = -8 (-8,0)

20. 1) y = ½ x + 4 y
(0,4)
(-8,0) x

21. 2) y = -2 x + 8

22. y intercept y = -2 (0) + 8 y = 8 (0,8)
2) y = -2 x + 8
y intercept y = -2 (0) + 8 y = 8 (0,8)
x intercept 0 = -2 x + 8 x = 4 (4,0)

23. 2) y = -2 x + 8 y
(0,8)
(4,0) x

24. 3) y = -3x - 4

25. 3) y = -3x - 4 y intercept y = -3 (0) - 4 y = -4 (0,-4)
x intercept 0 = -3 x - 4 x = -4/3 (-4/3,0)

26. 3) y = -3x - 4 y
(-4/3,0) x
(0,-4)

27. 4) y = 8x - 2

28. y intercept y = 8 (0) - 2 y = -2 (0,-2)
4) y = 8x - 2
y intercept y = 8 (0) - 2 y = -2 (0,-2)
x intercept 0 = 8 x - 2 x = 1/4 (1/4,0)

29. 4) y = 8x - 2 y
(1/4,0) x
(0,-2)

30. 5) 2x + 3y = 6

31. 5) 2x + 3y = 6 y intercept 2(0) + 3y = 6 y = 2 (0,2)
x intercept 2x + 3(0) = 6 x = 3 (3,0)

32. 5) 2x + 3y = 6 y
(0,2)
(3,0) x

33. 6) 5x + 2y = 10

34. 6) 5x + 2y = 10 y intercept 5(0) + 2y = 10 y = 5 (0,5)
x intercept 5x + 2(0) = 10 x = 2 (2,0)

35. 6) 5x + 2y = 10 y
(0,5)
(2,0) x

36. 7) -3x + 5y = 9

37. 7) -3x + 5y = 9 y intercept -3(0) + 5y = 9 y = 9/5 (0,9/5)
x intercept -3x + 5(0) = 9 x = -3 (-3,0)

38. 7) -3x + 5y = 9 y
(0,9/5)
(-3,0) x

39. 8) -2x - 3y = 10

40. 8) -2x - 3y = 10 y intercept -2(0) - 3y = 10 y = -10/3 (0,-10/3)
x intercept -2x - 3(0) = 10 x = -5 (-5,0)

41. 8) -2x - 3y = 10 y
(-5,0)
(0,-10/3)