Edexcel C1 — Question 7

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
TopicStraight Lines & Coordinate Geometry

7. The straight line \(l _ { 1 }\) has gradient 2 and passes through the point with coordinates \(( 4 , - 5 )\).
  1. Find an equation for \(l _ { 1 }\) in the form \(y = m x + c\). The straight line \(l _ { 2 }\) is perpendicular to the line with equation \(3 x - y = 4\) and passes through the point with coordinates \(( 3,0 )\).
  2. Find an equation for \(l _ { 2 }\).
  3. Find the coordinates of the point where \(l _ { 1 }\) and \(l _ { 2 }\) intersect.