Coordinate Geometry - Parallel and Perpendicular Lines

Coordinate Geometry - Parallel and Perpendicular Lines

Secondary 3

The points \(A\) is \(\left( 1,12 \right)\) and \(B\) is \(\left( 7,-2 \right)\).

  1. Show that the equation of the line \(AB\) is \(7x+3y=43\).
  2. Write down the equation of the line which has the same gradient as the line \(AB\) and passes through the point \(C\left( 0,-2 \right)\).

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Answer:(i) \(3y + 7x = 43\) (ii) \(y = -\frac{7}{3}x - 2\)

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