The document discusses that all straight lines can be written in the general form of Ax + By + C = 0, where A, B, and C are integers or surds. It provides an example of finding the equation of a line perpendicular to another line and passing through a given point. It also notes that lines parallel to the x-axis have the form y = c, while lines parallel to the y-axis have the form x = k.

1. Equation of Lines (Linear Function)

2. Equation of Lines (Linear Function) All straight lines can be written in the form;

3. Equation of Lines (Linear Function) All straight lines can be written in the form;

4. Equation of Lines (Linear Function) All straight lines can be written in the form;

5. Equation of Lines (Linear Function) All straight lines can be written in the form;

6. Equation of Lines (Linear Function) All straight lines can be written in the form; OR

7. Equation of Lines (Linear Function) All straight lines can be written in the form; OR

8. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form)

9. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form) Note: A, B, C are integers or surds

10. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form) Note: A, B, C are integers or surds e.g. Find the equation of the line perpendicular to y = 5 x – 2 , passing through (0,6) in general form.

11. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form) Note: A, B, C are integers or surds e.g. Find the equation of the line perpendicular to y = 5 x – 2 , passing through (0,6) in general form.

12. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form) Note: A, B, C are integers or surds e.g. Find the equation of the line perpendicular to y = 5 x – 2 , passing through (0,6) in general form.

13. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form) Note: A, B, C are integers or surds e.g. Find the equation of the line perpendicular to y = 5 x – 2 , passing through (0,6) in general form.

14. Equation of Lines (Linear Function) All straight lines can be written in the form; OR (general form) Note: A, B, C are integers or surds e.g. Find the equation of the line perpendicular to y = 5 x – 2 , passing through (0,6) in general form.

15. Note: lines parallel to the x axis ( y = c )

16. Note: lines parallel to the x axis ( y = c ) y x

17. Note: lines parallel to the x axis ( y = c ) y x

18. Note: lines parallel to the x axis ( y = c ) y x

19. Note: lines parallel to the x axis ( y = c ) lines parallel to the y axis ( x = k ) y x

20. Note: lines parallel to the x axis ( y = c ) lines parallel to the y axis ( x = k ) y x y x

21. Note: lines parallel to the x axis ( y = c ) lines parallel to the y axis ( x = k ) y x y x

22. Note: lines parallel to the x axis ( y = c ) lines parallel to the y axis ( x = k ) y x y x

23. Note: lines parallel to the x axis ( y = c ) lines parallel to the y axis ( x = k ) Exercise 5C; 1b, 3cf, 4a, 5d, 6df, 8df, 10b, 11c, 12 y x y x