Question 11 - A-Level Maths

Exam Board	Edexcel
Module	C1 (Core Mathematics 1)
Year	2007
Session	June
Topic	Straight Lines & Coordinate Geometry

The line \(l _ { 1 }\) has equation \(y = 3 x + 2\) and the line \(l _ { 2 }\) has equation \(3 x + 2 y - 8 = 0\).
1. Find the gradient of the line \(l _ { 2 }\).
The point of intersection of \(l _ { 1 }\) and \(l _ { 2 }\) is \(P\).
Find the coordinates of \(P\). The lines \(l _ { 1 }\) and \(l _ { 2 }\) cross the line \(y = 1\) at the points \(A\) and \(B\) respectively.
Find the area of triangle \(A B P\).