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O-LevelAdditional MathematicsStraight line graphs4037/21 · May/June 2022 · Q34 Marks

Variables x and y are such that when √y is plotted against x², a straight line passing through the points (9, 8) and (16, 1) is obtained. Find y as a function of x.

  1. (a)Variables x and y are such that when √y is plotted against x², a straight line passing through the points (9, 8) and (16, 1) is obtained. Find y as a function of x.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [M1] Valid method to find m, e.g., m = (8-1)/(9-16) [=-1]
  2. [M1] Valid method to find c e.g. 1=their(-1)×16+ c FT their m
  3. [A1] Equation with correct variables and √y = their(-1)x² + their17
  4. [A1] y =(−x² +17)² oe, isw

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2022 Paper 2 Variant 1, question 3.

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