Here is a technique to make hatch lines of a sort. It utilizes Guides made from vertical lines and the Pattern along Path extension.

See the graphics below, give it a go, and enjoy a great week.

A few more ideas.

Another alternate and perhaps simpler idea is...

(1) leave the vertical lines as they are,

(2) create the guides from them,

(3) rotate your text instead of the guides,

(4) use the Bezier tool to mark your "hatch paths", 

(5) apply the Pattern Along Path extension to these "hatch paths",

(6) finally rotate the results back to your original angle.

For instance, if your rotation angle was 36 degrees, rotate it back by -36 degrees.That way the end result is still perpendicular to the page, yet the diagonal "patterns" are seen at the angle and spacing you chose.

Thanks Ken
You arouse my curiosity because I only do tutorials to learn Inkscape tools, I don't have the pleasure to create something. By exploring the tracks indicated by your image, I will go towards a personal research.

This will occupy my Sunday.😉

EDIT:

And several weeks...🙂

Thank you and keep exploring and sharing. We all benefit as each one shares. Have a great day, too.