SPS SPS SM Pure 2022 June — Question 2

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2022
SessionJune
TopicStraight Lines & Coordinate Geometry

2. The trapezium \(A B C D\) is shown below.
\includegraphics[max width=\textwidth, alt={}, center]{8053bd07-c2b2-4ada-ae0e-8ab6b8466c78-06_296_586_237_778} The line \(A B\) has equation \(2 x + 3 y = 14\) and \(D C\) is parallel to \(A B\). The point D has coordinates ( 3,7 ).
  1. Find an equation of the line DC
    (2 marks)
  2. The angle \(B A D\) is a right angle. Find an equation of the line \(A D\), giving your answer in the form \(m x + n y + p = 0\), where \(m , n\) and \(p\) are integers.
    (3 marks)
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