Symmetric or reflected points

Find the reflection of a point in a line, or find points related by symmetry about a line.

1 questions · Challenging +1.2

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CAIE P1 2013 June Q7

7 marks Challenging +1.2

7 The point \(R\) is the reflection of the point \(( - 1,3 )\) in the line \(3 y + 2 x = 33\). Find by calculation the coordinates of \(R\).