Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 5
17 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Find the gradient of the straight line passing through the points (2, 7) and (6, 3).
Question 2
4 marks · Normal
Answer and see the solution →The line l has equation .
(a)[1 mark]Write down the gradient of l.
(b)[1 mark]Find the gradient of a line perpendicular to l.
(c)[2 marks]Find the equation of a line perpendicular to l that passes through the point (2, 1), giving your answer in the form .
Question 3
2 marks · Normal
Answer and see the solution →Find the mid-point of the line joining the points A(3, -4) and B(-5, 6).
Question 4
3 marks · Normal
Answer and see the solution →Copy and complete the table of values for for , then write the coordinates of the minimum point.
Table of values for \( y = x^2 - 2x + 1 \) x -1 0 1 2 3 y Question 5
3 marks · Normal
Answer and see the solution →Consider the region defined by the inequalities and .
(a)[2 marks]Describe how you would represent this region on a graph, stating whether each line should be solid or dashed.
(b)[1 mark]For the line , give a suitable test point and check whether it lies inside the required region.
Question 6
2 marks · Normal
Answer and see the solution →The distance between two points A(4, -2) and B(-2, 1) can be found using Pythagoras’ Theorem. Work out the length of AB.
Question 7
2 marks · Normal
Answer and see the solution →Describe the transformation that maps the graph of onto the graph of .
Question 8
2 marks · Normal
Answer and see the solution →Explain why the product of the gradients of two perpendicular lines (neither vertical nor horizontal) is always -1.