plumiStraight-line graphs: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on A9 Straight-line graphs, 2017–2025, with its mark scheme and examiner’s report.
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All 23 questions on Straight-line graphs, as a list
- June 2025, Paper 2H, Q20 (5 marks): y L A D O B x In the diagram A is the point (0, 8) B is the point (16, 0) The point D divides the line segment AB in the ratio 1 : 3 The line L passes through D
- November 2024, Paper 2H, Q21 (5 marks): The point P has coordinates (–4, 5) The point Q has coordinates (6, –6) The point R has coordinates (k, k + 3) Given that angle PRQ is a right angle, find the p
- November 2024, Paper 3H, Q16 (5 marks): OBCD is a rectangle. DCE is a straight line. y D x O C B E B has coordinates (2, −4) E has coordinates (12, −6.5) Work out the coordinates of D. You must show a
- June 2024, Paper 1H, Q6 (4 marks): Here is a straight line L drawn on a grid. y 7 L 6 5 4 3 2 1 x O –4 –3 –2 –1 1 2 3 4 –1 –2 –3 (a) Find an equation for L. M is a different straight line with eq
- June 2024, Paper 1H, Q23 (5 marks): C is a circle with centre (0, 0) L is a straight line. The circle C and the line L intersect at the points P and Q. The coordinates of P are (5, 10) The x coord
- November 2023, Paper 1H, Q12 (3 marks): The straight line L has equation 2y = 3x – 7 Find an equation of the straight line perpendicular to L that passes through (6, –5)
- November 2023, Paper 3H, Q9 (3 marks): The line L is shown on the grid. y 5 4 3 2 1 O x –2 –1 1 2 3 4 –1 L –2 –3 Find an equation for L.
- June 2023, Paper 1H, Q15 (3 marks): The equation of line L1 is y = 2x – 5 The equation of line L2 is 6y + kx – 12 = 0 L1 is perpendicular to L2 Find the value of k. You must show all your working.
- November 2022, Paper 2H, Q9 (2 marks): Here are the equations of two straight lines. y = 1 2 x − 6 6y = 3x + 7 Oscar says that these lines are parallel. Is Oscar correct? You must give a reason for y
- June 2022, Paper 2H, Q12 (2 marks): The equation of the line L1 is y = 2x + 3 The equation of the line L2 is 5y − 10x + 4 = 0 Show that these two lines are parallel.
- November 2021, Paper 2H, Q11 (5 marks): Here is a sketch of the line L. y L R Q(0, 3) P(–6, 0) O x The points P(–6, 0) and Q(0, 3) are points on the line L. The point R is such that PQR is a straight
- November 2020, Paper 1H, Q15 (3 marks): The straight line L1 has equation y = 3x – 4 The straight line L2 is perpendicular to L1 and passes through the point (9, 5) Find an equation of line L2
- November 2019, Paper 2H, Q25 (5 marks): The straight line L has equation 3x + 2y = 17 The point A has coordinates (0, 2) The straight line M is perpendicular to L and passes through A. Line L crosses
- June 2019, Paper 2H, Q2 (3 marks): On the grid below, draw the graph of y = 2x – 3 for values of xIURPíWR y 6 5 4 3 2 1 O –2 –1 1 2 3 4 x –1 –2 –3 –4 –5 –6 –7 –8
- June 2019, Paper 2H, Q16 (3 marks): The straight line L has the equation 3y = 4x + 7 The point AKDVFRRUGLQDWHV í Find an equation of the straight line that is perpendicular to L and passes
- November 2018, Paper 2H, Q6 (3 marks): A is the point with coordinates (5, 9) B is the point with coordinates (d, 15) The gradient of the line AB is 3 Work out the value of d.
- November 2018, Paper 2H, Q18 (4 marks): The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) The straight line L2SDVVHVWKURXJKWKHRULJLQDQGKDVJUDGLHQWí The lines
- June 2018, Paper 1H, Q19 (5 marks): The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b i
- June 2018, Paper 2H, Q3 (3 marks): The line L is shown on the grid. y 2 1 L O x –1 1 2 3 4 5 –1 –2 –3 –4 –5 –6 –7 Find an equation for L.
- November 2017, Paper 1H, Q19 (4 marks): M y L A E x O D B C ABCD is a rectangle. A, E and B are points on the straight line L with equation x + 2y = 12 A and D are points on the straight line M. AE =
- November 2017, Paper 2H, Q19 (4 marks): is 4 marks)
- June 2017, Paper 1H, Q6 (2 marks): The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.
- June 2017, Paper 1H, Q18 (4 marks): y A B D C x O ABCD is a rhombus. The coordinates of A are (5,11) The equation of the diagonal DB is y = 1 2 x + 6 Find an equation of the diagonal AC.
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