Laser using line renderer

I'm trying to make my character shoot a laser beam or ray similar to this video: http://www.youtube.com/watch?v=VD1wsPAXS2o I can't even get the laser to show up. Here's what I have. I don't care about what it looks like or colliding with anything I just want the laser to originate at my character and continue to the point where my mouse is clicking.

 using UnityEngine;
 using System.Collections;
 
 public class PlayerShoot : MonoBehaviour {
 
     public GameObject laser;
     // Update is called once per frame
     void Update () {
         if(Input.GetMouseButton(0)){
             Plane zeroPlane = new Plane(Vector3.up, Vector3.zero);
             Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
             float distance;
             
             if(zeroPlane.Raycast(ray, out distance)){
                 Vector3 outputPosition = ray.origin + ray.direction * distance;
                 (laser.GetComponent(LineRenderer)).SetPosition(0, this.transform.position);
                 (laser.GetComponent(LineRenderer)).SetPosition(1, outputPosition);
                 
                 Debug.Log("Position: " + outputPosition);
                 Debug.DrawLine(transform.position, outputPosition, Color.white);
             }
             
                         
         }
     }
 }