slowly rotate a object *need quick fix*

trying to rotate a object that have a linerender on it, so it looks like the linerendere goes after the player on the x axix slowly like a cyclops eye beam or someting these are the things i have tried but failed since none of them are behaving like i want them

 Vector3 newforward = Vector3.RotateTowards(eye.transform.forward, playerdistance, 1.0f * Time.deltaTime, 1);
 eye.transform.forward = newforward;
 
 //  eye.transform.LookAt(playerdistance);
 
 //eye.transform.Rotate(playerdistance.x, playerdistance.y , playerdistance.z * LaserSpeed * Time.deltaTime);