EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Linear Graphs
Linear graphs · Graphs · Lesson 1 of 8 · 9 marks · 20 minutes
Name Date
Answer all questions. Show your working. All questions are non-calculator.
Question 1 NON-CALCULATOR [2 marks]
Complete the table of values for y = 3x − 2 for x = −1, 0, 1, 2, 3.
Question 2 NON-CALCULATOR [2 marks]
Work out the gradient of the straight line that passes through the points (−1, 2) and (3, 10).
Question 3 NON-CALCULATOR [3 marks]
The graph shows a straight line. Find the equation of the line.
Question 4 NON-CALCULATOR [2 marks]
Does the point (3, 7) lie on the line y = 4x − 5? Give a reason for your answer.
Answers
Check your answer only once you have written one.
Question 1 [2 marks]
y = −5, −2, 1, 4, 7
▸ At least 3 correct values B1
▸ All 5 correct B1
Question 2 [2 marks]
(10 − 2)/(3 − (−1)) = 8/4 = 2
▸ (10 − 2)/(3 − (−1)) M1
▸ 2 A1
Question 3 [3 marks]
The line crosses the y-axis at −2. Gradient = (4 − (−2))/(3 − 0) = 2. y = 2x − 2
▸ Gradient 2 M1
▸ y-intercept −2 M1
▸ y = 2x − 2 A1
Question 4 [2 marks]
When x = 3, y = 4 × 3 − 5 = 7. Yes, the point lies on the line.
▸ 4 × 3 − 5 M1
▸ Yes, with 7 shown C1