OCR C1 — Question 5

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

5. The straight line \(l _ { 1 }\) has the equation \(3 x - y = 0\). The straight line \(l _ { 2 }\) has the equation \(x + 2 y - 4 = 0\).
  1. Sketch \(l _ { 1 }\) and \(l _ { 2 }\) on the same diagram, showing the coordinates of any points where each line meets the coordinate axes.
  2. Find, as exact fractions, the coordinates of the point where \(l _ { 1 }\) and \(l _ { 2 }\) intersect.