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O-LevelMathematicsCoordinate geometry4024/12 · May/June 2017 · Q164 Marks

A is the point (0, 3), B is the point (1, 5) and C is the point (p, −1).

  1. (a)Find the equation of the line AB.[2]
  2. (b)The gradient of the line BC is -3/4. Find the value of p.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [2] (a) y = 2x + 3 oe
  2. C1 for y = 2x + c o.e.
  3. or y = mx + 3 oe m ≠ 0
  4. or 2x + 3
  5. or M1 for gradient = 2 or intercept = 3 soi
  6. [2] (b) 9
  7. M1 for (5 - (-1))/(1 - p) = -3/4 oe
  8. or for 5 = -3/4 × 1 + c and -1 = -3/4 × p + c seen

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2017 Paper 1 Variant 2, question 16.

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