Coordinate Geometry - Parallel and Perpendicular Lines

Coordinate Geometry - Parallel and Perpendicular Lines

Secondary 3

\(P\) is the point \(\left( 0,11 \right)\) and \(Q\) is the point \(\left( 6,3 \right)\).
Calculate

  1. the gradient of the line \(PQ\),
  2. the equation of the line \(PQ\),
  3. the equation of the line parallel to \(y-4x=7\) passing through \(P\).

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Answer:(i) \(-1\frac{1}{3}\) (ii) \(y = -\frac{4}{3}x + 11\) (iii) \(y = 4x + 11\)

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