The document discusses calculating the acute angle between two lines with slopes m1 and m2. It provides an example problem that asks to find the possible values of m for the acute angle between the lines y=3x+5 and y=mx+4.

1. Angle Between Two Lines

2. Angle Between Two Lines y x

3. Angle Between Two Lines y x

4. Angle Between Two Lines y x

5. Angle Between Two Lines y x

6. Angle Between Two Lines y x

7. Angle Between Two Lines y x

8. Angle Between Two Lines y x

9. Angle Between Two Lines y x

10. Angle Between Two Lines y x

11. Angle Between Two Lines y x

12. Angle Between Two Lines y x

13. Angle Between Two Lines The acute angle between two lines with slopes and can be found using; y x

14. Angle Between Two Lines The acute angle between two lines with slopes and can be found using; y x

15. 2000 Extension 1 HSC Q1b)

16. 2000 Extension 1 HSC Q1b)

17. 2000 Extension 1 HSC Q1b)

18. 2000 Extension 1 HSC Q1b)

19. 2000 Extension 1 HSC Q1b)

20. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

21. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

22. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

23. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

24. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

25. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

26. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

27. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

28. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

29. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

30. 2005 Extension 1 HSC Q1f) (ii) The acute angle between the lines y = 3 x + 5 and y = mx + 4 is Find the possible values of m .

31. Exercise 14E; 1ac, 2bdf, 4, 7, 8, 10, 11a, 15*