CAIE P1 2003 June — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2003
SessionJune
TopicStraight Lines & Coordinate Geometry

7 The line \(L _ { 1 }\) has equation \(2 x + y = 8\). The line \(L _ { 2 }\) passes through the point \(A ( 7,4 )\) and is perpendicular to \(L _ { 1 }\).
  1. Find the equation of \(L _ { 2 }\).
  2. Given that the lines \(L _ { 1 }\) and \(L _ { 2 }\) intersect at the point \(B\), find the length of \(A B\).