Use this tool to unlink points. As you proceed, remember that child points are linked individually to the parent. The children are not linked to each other.

Select the point that you want to unlink.

Unlink by Parent

If you have chosen a parent, all the children will be highlighted. 

Select one or more of the highlighted points to unlink them.

The chosen children will go back to stand alone points. If not all children were selected, the parent and remaining children will still be linked.

Unlink by Child

If you have chosen a child point, only the parent will be highlighted and selectable.

The child will be unlinked from the parent, but the parent will still be linked to the other children.