Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 2
16 practice questions
Practice questions
1–2 of 2 · Hard
Question 1
6 marks · Hard
Answer and see the solution →The line L passes through P (–4, 5) and Q (2, –1). A second line M is parallel to L and passes through the point R (1, 7).
(a)[3 marks]Find the equation of the line L in the form y = mx + c.
(b)[1 mark]Write down the gradient of line M.
(c)[2 marks]Find the equation of line M in the form y = mx + c.
Question 2
5 marks · Hard
Answer and see the solution →The lines y = 2x + 3 and y = -x + k intersect at the point (1, 5).
(a)[2 marks]Find the value of k.
(b)[2 marks]Verify that (1, 5) lies on both lines.
(c)[1 mark]Determine the equation of the line that passes through the origin and the point of intersection.