11 x1 t05 03 equation of lines (2012)
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  • 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; y  mx  b
  • 4. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope
  • 5. Equation of Lines (Linear Function)All straight lines can be written in the form; y  mx  b m  slope b  y intercept
  • 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. 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. 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. 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. 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. 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. 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. 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. 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. 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  3, 2  x
  • 18. Note: lines parallel to the x axis (y = c) y  3, 2  x y2
  • 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. 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. 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. 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. 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