CAIE P1 2013 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2013
SessionNovember
TopicStraight Lines & Coordinate Geometry

3 The point \(A\) has coordinates \(( 3,1 )\) and the point \(B\) has coordinates \(( - 21,11 )\). The point \(C\) is the mid-point of \(A B\).
  1. Find the equation of the line through \(A\) that is perpendicular to \(y = 2 x - 7\).
  2. Find the distance \(A C\).