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Grade 11 · Analytical Geometry
Analytical Geometry: Lines & Inclination (Grade 11)
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Determine the gradient of the line through A(−1 ; 2) and B(3 ; 10).
    (2)
  2. 2
    Determine the equation of the line through A(−1 ; 2) and B(3 ; 10).
    (2)
  3. 3
    Determine the length of AB where A(−1 ; 2) and B(3 ; 10).
    (2)
  4. 4
    Determine the midpoint of AB where A(−1 ; 2) and B(3 ; 10).
    (2)
  5. 5
    Determine the equation of the line through (2 ; 5) perpendicular to y = 2x + 4.
    (2)
  6. 6
    Determine the equation of the line through (0 ; 1) parallel to y = 2x + 4.
    (2)
  7. 7
    Determine the angle of inclination of y = 2x + 4 (one decimal).
    (2)
  8. 8
    Determine the angle of inclination of a line with gradient −1.
    (2)
TOTAL: 16 marks
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