EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: More Linear Graphs
More linear graphs · Graphs · Lesson 2 of 8 · 11 marks · 20 minutes
Name Date
Answer all questions. Show your working. All questions are non-calculator.
Question 1 NON-CALCULATOR [3 marks]
Find the equation of the line that is parallel to y = 3x − 4 and passes through the point (2, 5).
Question 2 NON-CALCULATOR [3 marks]
Find the equation of the straight line that passes through (1, 4) and (3, 10).
Question 3 NON-CALCULATOR [2 marks]
Show that the line 2y = 6x + 5 is parallel to the line y = 3x + 1.
Question 4 NON-CALCULATOR · HIGHER [3 marks]
Find the equation of the line that is perpendicular to y = 2x + 3 and passes through (4, 1).
Answers
Check your answer only once you have written one.
Question 1 [3 marks]
m = 3. 5 = 3 × 2 + c, so c = −1. y = 3x − 1
▸ Gradient 3 M1
▸ Substituting (2, 5) into y = 3x + c M1
▸ y = 3x − 1 A1
Question 2 [3 marks]
Gradient = (10 − 4)/(3 − 1) = 3. 4 = 3 + c, c = 1. y = 3x + 1
▸ Gradient 3 M1
▸ Correct method for c M1
▸ y = 3x + 1 A1
Question 3 [2 marks]
2y = 6x + 5 gives y = 3x + 2.5. Both lines have gradient 3, so they are parallel.
▸ Rearranging to y = 3x + 2.5 M1
▸ Both gradients 3, so parallel C1
Question 4 [3 marks]
Perpendicular gradient −½. 1 = −½ × 4 + c, so c = 3. y = −½x + 3
▸ Gradient −½ M1
▸ Substituting (4, 1) M1
▸ y = −½x + 3, or x + 2y = 6 A1