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4MA1/2FR Jan 2023, Question 4: Length of a Line Segment

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Using a grid with points A, B, C and line EF, find coordinates, plot point D at (3, −2), find the midpoint of BC, and give the equation of EF.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

State the coordinates of point A from the grid.

  1. 1Read the coordinates of point A from the grid.
  2. 2(1, 0)

Answer(1, 0)

Part (b) · 1 mark

Plot and label point D at (3, −2) on the grid.

  1. 1Locate the point with x-coordinate 3 and y-coordinate −2 on the grid.
  2. 2Mark this point with a cross and label it D.

AnswerCross marked at (3, −2)

Part (c) · 2 marks

Calculate the coordinates of the midpoint of the segment BC.

  1. 1Find the coordinates of B: (−4, 1).
  2. 2Find the coordinates of C: (−2, −3).
  3. 3Midpoint x-coordinate: (−4 + (−2)) / 2 = −6 / 2 = −3.
  4. 4Midpoint y-coordinate: (1 + (−3)) / 2 = −2 / 2 = −1.
  5. 5(−3, −1)

Answer(−3, −1)

Part (d) · 1 mark

Give the equation of the straight line EF shown on the grid.

  1. 1Observe that line EF is horizontal and passes through y = 3.
  2. 2The equation of a horizontal line is y = constant.
  3. 3y = 3

Answery = 3

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