4MA1/2HR Jan 2023, Question 5: Drawing Straight-Line Graphs
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
On the given grid, plot the straight-line graph of 5x + 2y = 10 for x values between −2 and 4.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Rearrange equation: 2y = 10 − 5x
- 2Divide by 2: y = 5 − 2.5x
- 3When x = −2, y = 5 − 2.5(−2) = 5 + 5 = 10
- 4When x = −1, y = 5 − 2.5(−1) = 5 + 2.5 = 7.5
- 5When x = 0, y = 5 − 2.5(0) = 5
- 6When x = 1, y = 5 − 2.5(1) = 2.5
- 7When x = 2, y = 5 − 2.5(2) = 5 − 5 = 0
- 8When x = 3, y = 5 − 2.5(3) = 5 − 7.5 = −2.5
- 9When x = 4, y = 5 − 2.5(4) = 5 − 10 = −5
- 10Plot points and draw straight line from x = −2 to x = 4
AnswerCorrect line from x = −2 to x = 4 passing through the points (−2, 10), (−1, 7.5), (0, 5), (1, 2.5), (2, 0), (3, −2.5), (4, −5)
Stuck on a step? Read the free lesson: Drawing Straight-Line Graphs
Practise more drawing straight-line graphs questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on drawing straight-line graphs
Also searched as: 4MA1 2HR January 2023 · 4MA1/2HR · 4ma1 jan23 2hr · question 5.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.