Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 1
20 practice questions
Practice questions
11–20 of 20
Question 11
2 marks · Normal
Answer and see the solution →State whether the following statement is true or false. Explain your answer. "The point (0, 4) lies on the line y = 2x + 4."
Question 12
3 marks · Normal
Answer and see the solution →Find the equation of the straight line that passes through the points (1, 5) and (3, 9). Give your answer in the form y = mx + c.
Question 13
2 marks · Normal
Answer and see the solution →A point B has y-coordinate 8 and lies on the line y = 3x + 2. Find the x-coordinate of B.
Question 14
2 marks · Normal
Answer and see the solution →Write down the y-intercept of the line y = –4x + 6.
Question 15
3 marks · Normal
Answer and see the solution →The line L has the equation . A point A lies on the Cartesian plane.
(a)[1 mark]Write down the y-coordinate of the point where line L crosses the y-axis.
(b)[2 marks]Find the x-coordinate of the point where line L crosses the x-axis.
Question 16
3 marks · Normal
Answer and see the solution →The table gives some values for the line . Complete the table.
x y –1 0 2 Question 17
2 marks · Normal
Answer and see the solution →A straight line passes through the points (–2, 6) and (4, –6). Work out the gradient of the line.
Question 18
4 marks · Hard
Answer and see the solution →The straight line L passes through the points (–5, 7) and (3, –9).
(a)[2 marks]Calculate the gradient of line L.
(b)[2 marks]Find the equation of line L in the form .
Question 19
3 marks · Hard
Answer and see the solution →Consider the line y = 4x – 7.
(a)[2 marks]Explain whether the point (2, 2) lies above, below, or on the line.
(b)[1 mark]Give a reason for your answer.
Question 20
4 marks · Hard
Answer and see the solution →The point Q has coordinates (k, 12) and lies on the line y = 3x + 6.
(a)[2 marks]Find the value of k.
(b)[2 marks]The point R lies on the same line and has x-coordinate –2. Find the y-coordinate of R.