Lemmara logoLemmaraWorked solution

4024/13 May/Jun 2025, Question 6: The Equation y = mx + c

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Grid with points A(3, −3), B(0, 3), C(0, 5) and line AB; plot D(3, 6), then find equations of lines BC and AB.

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

Part (a) · 1 mark

Plot and label point D at (3, 6) on the grid.

  1. 1From the origin go 3 right and 6 up; mark the point and label it D

Answer(3, 6) plotted

Part (bi) · 1 mark

Find the equation of the line through B(0, 3) and C(0, 5).

  1. 1B (0, 3) and C (0, 5) both have x-coordinate 0
  2. 2Line BC: x = 0

Answerx = 0

Part (bii) · 2 marks

Find the equation of the line through A(3, −3) and B(0, 3).

  1. 1Gradient of AB = (−3 − 3)/(3 − 0) = −6/3 = −2
  2. 2y-intercept = 3 (point B)
  3. 3y = 3 − 2x

Answery = 3 − 2x

Stuck on a step? Read the free lesson: The Equation y = mx + c

Practise more the equation y = mx + c questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on the equation y = mx + c

Also searched as: 4024/13/M/J/25 · 4024_s25_qp_13 · 4024 s25 13 · question 6.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.