There’s any number of ways you could do that. Probably the easiest way would be to use a Cluster Object:
* create a vertex map for the points you want to control;
* create a cluster object from the character menu. The cluster object works like a deformer so it has to be a child of your plane, or a sibling under a null or other object;
* drag the vertex map you created into the cluster object’s Weight>P field.
Now the cluster object’s position will control the points’ position. You can also use it to control rotation and scale if you drag the vertex map into those fields of the cluster weight tab.