SPM 2022 Add Maths Paper 1, Question 6Linear Law
Solved on video in English and Bahasa Melayu · Form 4, Linear Law · 4:08 video
The question
6 The variables x and y are related by the equation y = px/(qx − 1), such that p and q are constants. If a graph of y against x is drawn, its curve will pass through (1/2, −6), whereas a straight line with the gradient 1/8 is obtained when a graph of 1/y against 1/x is drawn. Find the value of p and of q.
4:08Step 1
Substitute the point (1/2, −6) into y = px/(qx − 1): −6 = p(1/2)/(q(1/2) − 1) = (p/2)/((q/2) − 1).
5 more steps, each with the reason for it, in the full solution
Final answer
p = −8, q = 10/3
Where students lose marks
Watch out: write the full form Y = mX + c first. The gradient is −1/p, including the minus sign, not 1/p.
Watch every step of this question solved on video (4:08), with the reason behind each step and a box that checks your own answer.
No card. Every past-year question on video, in English and BM.
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