How to reconstruct a figure with a "line" variable

I have something like

% Code running to generate x- and y- data
h = plot(xData, yData,'propertyname', 'propertyvalue')
save('Filename')

When I open 'Filename.mat' I can see 'h' in the workspace with all the properties of the line I plotted as '1x1 Line'.

I would like to, in a different script, create a new figure and axes and plot that line with all the properties it has. I know how to get all the properties using h.XData, h.YData, h.MarkerSize, etc, but I would like there to be somemore efficient command like

f=figure
set(f,'addplot',h)

Thanks!

[dpb]

"...would like there to be somemore efficient command"

There is --it's savefig and openfig

[Nick Brewer]

But I would like to be able to save several different plots and later, along with the saved properties, mix and match them in different figures.

Answer 1

[Walter Roberson]

You cannot directly copy a line() object to a figure. You can copy a line() object to an axes, or you can copy an axes to a figure.

%entire axes
f = figure;
hax = get(h,'Parent');
copyobj(hax, f);

or

%line only
f = figure;
fax = axes('Parent', f);
copyobj(h, fax);