2026 CCHMS P1 Q18

2026 CCHMS P1 Q18

Secondary 4
5 marks

The line \(l_1\) passes through the points \(A(3,-1)\) and \(B(7,2)\).

  1. the point \((2,a)\) lies on the line \(l_1\), find the value of \(a\).[3]
  2. The line \(l_2\) passes through the point \(D(0,8)\).
    Let \(S_1\) and \(S_2\) be the sets of all points lying on \(l_1\) and \(l_2\) respectively.
    Given that \(S_1\cap S_2=\varnothing\), find the equation of the line \(l_2\).[2]

Solution:

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Answer:(a) \(-\dfrac74\) (b) \(y=\dfrac34x+8\).

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