2025 AHS PRELIMS P1 Q18

2025 AHS PRELIMS P1 Q18

Secondary 4
4 marks

\(E\) is the point \((2,-4)\) and \(F\) is the point \((-1,3)\).

  1. Find the equation of the line \(EF\) in the form \(y=mx+c\).[2]
  2. The line \(PQ\) has equation \(2y+\dfrac{14}{3}x-1=0\). Explain why \(PQ\) does not intersect the line \(EF\).[2]

Solution:

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Answer:(a) \(y=-\frac73x+\frac23\) (b) distinct parallel lines

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