OCR C1 2013 January — Question 6

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2013
SessionJanuary
TopicStraight Lines & Coordinate Geometry

6
  1. The line joining the points ( \(- 2,7\) ) and ( \(- 4 , p\) ) has gradient 4 . Find the value of \(p\).
  2. The line segment joining the points \(( - 2,7 )\) and \(( 6 , q )\) has mid-point \(( m , 5 )\). Find \(m\) and \(q\).
  3. The line segment joining the points \(( - 2,7 )\) and \(( d , 3 )\) has length \(2 \sqrt { 13 }\). Find the two possible values of \(d\).