What is the gradient of the line passing through the points (2, −3) and (5, 6)?
A3CORRECT
B−3
C1/3
D9
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Why the answer is A, and why the others tempt you.
Gradient m = (y₂ − y₁)/(x₂ − x₁) = (6 − (−3))/(5 − 2) = 9/3 = 3. Option D (9) results from forgetting to divide by the difference in x, option B (−3) results from reversing the sign, and option C (1/3) results from inverting the fraction.
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