Drawing WPF Bezier Curves programmatically

I needed to draw a curved line between the mid-points of two shapes, centered on X1,Y1 and X2, Y2.
This method also returns a PathGeometry which is then used to determine the Intersection between the curve and the shapes.

private static PathGeometry DrawLine(Canvas canvas, double X1, double Y1, double X2, double Y2, Color color)
{
   QuadraticBezierSegment qbs = new QuadraticBezierSegment(new Point(X2, Y1), new Point(X2, Y2), true);
   
   PathSegmentCollection pscollection = new PathSegmentCollection();
   pscollection.Add(qbs);

   PathFigure pf = new PathFigure();
   pf.Segments = pscollection;
   pf.StartPoint = new Point(X1, Y1);

   PathFigureCollection pfcollection = new PathFigureCollection();
   pfcollection.Add(pf);

   PathGeometry pathGeometry = new PathGeometry();
   pathGeometry.Figures = pfcollection;

   Path path = new Path();
   path.Data = pathGeometry;
   path.Stroke = new SolidColorBrush(color);
   path.StrokeThickness = 2;
   Canvas.SetZIndex(path, (int)Layer.Line);
   canvas.Children.Add(path);
   
   return pathGeometry;
}