I have three known positions, and currently I am driving two lines like so:
Line line = new Line { StrokeThickness = 3, Stroke = lineColor, X1 = MyX,
I think you are looking for splines
http://msdn.microsoft.com/en-us/library/554h284b.aspx
Gabe is correct that is from Forms
Under WPF you could try a PolyBezierSegment but it require 4 points. Possible you could put in three points and 1 more to shape it.
This results in the following curve