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O-LevelMathematicsCoordinate geometry4024/13 · May/June 2025 · Q214 Marks

Line L has equation 2y = 5x + 3. Find the equation of the line perpendicular to L which passes through the point (1, 4).

  1. Line L has equation 2y = 5x + 3. Find the equation of the line perpendicular to L which passes through the point (1, 4).[4]

Mark scheme

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

  1. [4] y = (-2/5)x + (22/5) final answer or 5y + 2x = 22 final answer
  2. M1 for grad = 5/2 oe
  3. M1FT for grad of perpendicular = -1/(their 5/2)
  4. M1FT for substituting (1, 4) into y = their(-2/5)x + c oe or for y - 4 = their(-2/5)(x-1)

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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 2025 Paper 1 Variant 3, question 21.

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