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0580/12 Oct/Nov 2023, Question 22: Finding the Equation From a Graph

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 5 marks

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The question, in short

From a grid showing point A and line L, give A's coordinates, plot (−2, 4), and find the equation of L.

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 as marked on the grid.

  1. 1A is 1 right and 2 down from the origin: (1, −2)

Answer(1, −2)

Part (b) · 1 mark

Plot the point (−2, 4) on the grid.

  1. 1Go 2 left and 4 up from the origin and mark a cross at (−2, 4)

AnswerPoint plotted at (−2, 4)

Part (c) · 3 marks

Determine the equation of the straight line L.

  1. 1L crosses the y-axis at (0, 3)
  2. 2L passes through (1, 5): gradient = (5 − 3)/(1 − 0) = 2
  3. 3y = 2x + 3

Answery = 2x + 3

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Also searched as: 0580/12/O/N/23 · 0580_w23_qp_12 · 0580 w23 12 · question 22.
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