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O-LevelMathematicsCoordinate geometry4024/21 · Oct/Nov 2025 · Q164 Marks

A is the point (3, -2) and B is the point (5, 4).

  1. (a)Find the equation of the line AB. Give your answer in the form y = mx + c.[3]
  2. (b)Write down the gradient of a line that is perpendicular to the line AB.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.

  1. 16(a) [y =] 3x – 11 final answer [3] M1 for (4--2)/(5-3) oe M1 for substitution of (3, -2) or (5, 4) into y = (their 3)x + c or use of y – b = (their 3)(x – a) oe where (a, b) = (3, –2) or (5, 4)
  2. 16(b) -1/3 oe [1] FT -1/their3

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2025 Paper 2 Variant 1, question 16.

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