AQA C1 2011 June — Question 1

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2011
SessionJune
TopicStraight Lines & Coordinate Geometry

1 The line \(A B\) has equation \(7 x + 3 y = 13\).
  1. Find the gradient of \(A B\).
  2. The point \(C\) has coordinates \(( - 1,3 )\).
    1. Find an equation of the line which passes through the point \(C\) and which is parallel to \(A B\).
    2. The point \(\left( 1 \frac { 1 } { 2 } , - 1 \right)\) is the mid-point of \(A C\). Find the coordinates of the point \(A\).
  3. The line \(A B\) intersects the line with equation \(3 x + 2 y = 12\) at the point \(B\). Find the coordinates of \(B\).