4024/11 Oct/Nov 2024, Question 11: The Gradient of a Straight Line
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
For points A (2, 4) and B (5, −2) joined by a straight line, work out the midpoint of AB and the gradient of the line AB.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Work out the coordinates of the point halfway between A (2, 4) and B (5, −2).
- 1((2 + 5)/2, (4 + (−2))/2)
- 2= (3.5, 1)
Answer(3.5, 1)
Part (b) · 2 marks
Work out the slope of the straight line that passes through A (2, 4) and B (5, −2).
- 1Gradient = (4 − (−2))/(2 − 5)
- 2= 6/−3 = −2
Answer−2
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