xoff = 7.38;
ymax = get(gca, 'YLim');
hold on
plot([xoff xoff], [0 ymax], 'r:');
Note: This will draw a line according to the current top of the x axis. The details of this method will have difficulty if you pan or zoom.
I was unsure about where you wanted the line to go. If you want it to go along the y-axis to the end of the x-axis, then
xoff = 7.38;
xmax = get(gca, 'XLim');
hold on
plot([xoff xmax], [0 0], 'r:');