Question 3 - A-Level Maths

Exam Board	OCR
Module	C1 (Core Mathematics 1)
Topic	Straight Lines & Coordinate Geometry

The straight line \(l\) has the equation \(x - 2 y = 12\) and meets the coordinate axes at the points \(A\) and \(B\).

Find the distance of the mid-point of \(A B\) from the origin, giving your answer in the form \(k \sqrt { 5 }\).