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4MA1/2F Jun 2019, Question 22: The Equation y = mx + c

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · 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 state the four inequalities defining it.

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Part (a) · 2 marks

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

  1. 1y = mx + c
  2. 2Gradient m = 5
  3. 3(0, −3) is the y-intercept, so c = −3
  4. 4y = 5x − 3

Answery = 5x − 3

Part (b) · 2 marks

Using the grid showing shaded region R bounded by four lines, write down the inequalities that define R.

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

Answer0 ≤ x ≤ 2, 1 ≤ y ≤ 3

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