2026 SPS P1 Q23

2026 SPS P1 Q23

Secondary 4
5 marks

The point \(A(0,7)\) is translated to the point \(B\) by the translation vector \(\mathbf p=\begin{pmatrix}-3\\ 5\end{pmatrix}\).

  1. Find the coordinates of B.[1]
  2. Find \(|\mathbf p|\).[2]
  3. Find the equation of line AB.[2]

Solution:

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Answer:(a) (−3,12). (b) \(\sqrt{34}\). (c) \(y=-5x/3+7\).

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