LineRenderer.useWorldSpace

Description

If enabled, the lines are defined in world space.

This means the object's position is ignored, and the lines are rendered around world origin.

using UnityEngine;
using System.Collections;

public class ExampleClass : MonoBehaviour {
    void Start() {
        LineRenderer lineRenderer;
        lineRenderer = gameObject.AddComponent<LineRenderer>();
        lineRenderer.useWorldSpace = false;
        lineRenderer.material = new Material(Shader.Find("Particles/Additive"));
        lineRenderer.SetColors(Color.red, Color.yellow);
    }
}