A line acquisition system predicts and displays an acquisition path to reduce the uncertainty surrounding the path taken by a vehicle when acquiring a destination path. The line acquisition system calculates the drivable acquisition path based on the current states of the vehicle, such as position, speed, heading, and curvature. The line acquisition system continually updates and displays the acquisition path as the vehicle is manually steered by the user. When the user engages a steering controller, the last calculated acquisition path is used to automatically steer the vehicle onto the destination path. Displaying the acquisition path allows the user to observe, prior to automatic steering engagement, the path the vehicle would take from its current state to the destination. The user can then decide whether the predicted acquisition path will interfere with terrain or obstacles that the user wishes to avoid.