This is a fairly common print method and it probably has a name. How this is achieved is useful but it's name is more relevant.
In old newspaper printing systems it was line raster autotypia.
In Photoshop you can use the halftone screen function:
convert your image to greyscale
goto Image > Mode > Bitmap
select Halftone Screen, keep the original pixels/inch
select line pattern, line angle =45 degrees, only a few lines/inch
An example (= a gradient and random lines)