One line with different thickness

How to draw a line in Corel Draw which would have width=7 on its beginning and that would gradually become thinner, until it finishes with width = 1.

For example:

This line, just without the heart:

http://creativecurio.com/wp-content/uploads/2007/my-line.gif

Or this one (the one below):

http://www.stunningmesh.com/wp-content/uploads/2009/11/stunningmesh-tut1-curvy-line10.jpg

How can I do this with curvy or with straight line?