Graph to visualize paired t test

http://r.789695.n4.nabble.com/file/n4630909/pfaff_fig1.gif 

I have run the statistics and found no significance in my pairwise t test. 
I want to create a graph similar to the one I included showing similar
slopes/lines for my data points.  For my data a correlation graph is not
appropriate and looks very confusing.  Is the easiest way to create several
lines between points I enter manually or is there a way to create this graph
from entering my pairwise.t.test data?

Thanks in advance

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