Move Object Forward on Certain Axes

I'm creating a camera, and it is facing slightly down, I would like to move the camera on the x and the z axes forward, not on the y axis. So it will move parallel to the ground forward, not towards it. If anyone needs a better explanation, please ask.

 

I've solved it, here is my code:

Code (csharp):

1. Vector3 newpos = transform.position;
2. newpos += transform.forward * movespeed * Input.GetAxis("Vertical") * Time.deltaTime;
3. newpos += transform.right * movespeed * Input.GetAxis("Horizontal") * Time.deltaTime;
4. newpos.y = transform.position.y;
5. transform.position = newpos;