11 x1 t05 03 equation of lines (2012)

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11 x1 t05 03 equation of lines (2012)

  1. 1. Equation of Lines(Linear Function)
  2. 2. Equation of Lines (Linear Function)All straight lines can be written in the form;
  3. 3. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b
  4. 4. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope
  5. 5. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope b  y intercept
  6. 6. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR
  7. 7. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0
  8. 8. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form)
  9. 9. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form) Note: A, B, C are integers or surds
  10. 10. Equation of Lines (Linear Function) All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form) Note: A, B, C are integers or surdse.g. Find the equation of the line perpendicular to y = 5x – 2 , passing through (0,6) in general form.
  11. 11. Equation of Lines (Linear Function) All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form) Note: A, B, C are integers or surdse.g. Find the equation of the line perpendicular to y = 5x – 2 , passing through (0,6) in general form. 1 required m   5
  12. 12. Equation of Lines (Linear Function) All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form) Note: A, B, C are integers or surdse.g. Find the equation of the line perpendicular to y = 5x – 2 , passing through (0,6) in general form. 1 y   x6 1 5 required m   5
  13. 13. Equation of Lines (Linear Function) All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form) Note: A, B, C are integers or surdse.g. Find the equation of the line perpendicular to y = 5x – 2 , passing through (0,6) in general form. 1 y   x6 1 5 required m   5 y   x  30 5
  14. 14. Equation of Lines (Linear Function) All straight lines can be written in the form; y  mx  b m  slope b  y intercept OR Ax  By  C  0 (general form) Note: A, B, C are integers or surdse.g. Find the equation of the line perpendicular to y = 5x – 2 , passing through (0,6) in general form. 1 y   x6 1 5 required m   5 y   x  30 5 x  5 y  30  0
  15. 15. Note: lines parallel to the x axis (y = c)
  16. 16. Note: lines parallel to the x axis (y = c) y x
  17. 17. Note: lines parallel to the x axis (y = c) y  3, 2  x
  18. 18. Note: lines parallel to the x axis (y = c) y  3, 2  x y2
  19. 19. Note: lines parallel to the x axis (y = c) y  3, 2  x y2 lines parallel to the y axis (x = k)
  20. 20. Note: lines parallel to the x axis (y = c) y  3, 2  x y2 lines parallel to the y axis (x = k) y x
  21. 21. Note: lines parallel to the x axis (y = c) y  3, 2  x y2 lines parallel to the y axis (x = k) y  3, 2  x
  22. 22. Note: lines parallel to the x axis (y = c) y  3, 2  x y2 lines parallel to the y axis (x = k) y  3, 2  x x3
  23. 23. Note: lines parallel to the x axis (y = c) y  3, 2  x y2 Exercise 5C; 1b, 3cf, 4a, 5d, 6df, 8df, 10b, 11c, 12 lines parallel to the y axis (x = k) y  3, 2  x x3

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