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4MA1/2H Jun 2019, Question 10: The Equation y = mx + c

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks

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The question, in short

Line L has gradient 5 through (0, −3). Find its equation, then use the shaded region R on the grid to write the four inequalities bounding R.

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

Part (a) · 2 marks

Write down the equation of the straight line with gradient 5 passing through (0, −3).

  1. 1y = mx + c with gradient m = 5
  2. 2(0, −3) is the y-intercept, so c = −3
  3. 3y = 5x − 3

Answery = 5x − 3

Part (b) · 2 marks

Using the shaded region R on the grid, write down the four inequalities that define R.

  1. 1Left and right edges: x = 0 and x = 2
  2. 2Bottom and top edges: y = 1 and y = 3
  3. 3R: 0 ≤ x ≤ 2, 1 ≤ y ≤ 3

Answer0 ≤ x ≤ 2, 1 ≤ y ≤ 3

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