Worksheets · Foundation and Higher

Plotting lines, gradient and intercept

3 exam-style questions. Answers and the mark for each step are on the last page.

  1. Question 1Non-calculator · 2 marks

    (a) A straight line passes through (1, 3) and (5, 11). Work out its gradient. (2)

  2. Question 2Non-calculator · 4 marks

    A line has equation y=2x+(0)y=2x+(0).

    (a) Find where the line crosses the y-axis. (2)

    (b) Find the point on the line with y-coordinate 10. (2)

  3. Question 3Calculator · 2 marks

    (a) Find the coordinates of the point where the line 4x + 3y = 18 crosses the x-axis. (2)

Answers and marks

Question 1

(a) 22

  • P1 Establishing 11−35−1\frac{11-3}{5-1} or an equivalent valid method.
  • A1 Correct answer: 22

Question 2

(a) (0,0)(0,0)

  • M1 Set x equal to zero on the y-axis.
  • A1 Correct answer: (0,0)(0,0)

(b) (5,10)(5,10)

  • M1 Solve the equation for x using the given y.
  • A1 Correct answer: (5,10)(5,10)

Question 3

(a) (4.5,0)(4.5,0)

  • P1 Establishing 4x=184x=18 or an equivalent valid method.
  • A1 Correct answer: (4.5,0)(4.5,0)

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Plotting lines, gradient and intercept

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Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.

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