CAIE P1 2014 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2014
SessionNovember
TopicStraight Lines & Coordinate Geometry

4 The line \(4 x + k y = 20\) passes through the points \(A ( 8 , - 4 )\) and \(B ( b , 2 b )\), where \(k\) and \(b\) are constants.
  1. Find the values of \(k\) and \(b\).
  2. Find the coordinates of the mid-point of \(A B\).