I have a jpg file I scanned from a black ink line drawing on a white paper.
You’ve already started down the wrong path.
JPEG is "lossy." It degrades the quality of an image. Never, ever use JPEG for anything other than the Web, or other situations where file size is important but image quality is not important. Get out of the habit of using JPEG unless you KNOW you specifically need JPEG.
If the image is truly a line drawing, scan it as (or convert it to) a bitmap, not grayscale, and save as TIFF.
I would like to insert this drawing into an application such as MS Word but I do not want the white rectangular background surrounding the black lines to show
JPEG does not support transparency; you will never succeed at making a JPEG transparent. A bitmap TIFF, however, should be transparent.
However, whether or not it works in Word is something of a crapshoot, as Word has arguably the poorest handling of placed images you’ll ever see in any big-name application.
since I want to print onto a
non-white paper.
If you just want to print on non-white paper, print the image with a white background on non-white paper! Your priter has no white ink. It never prints anything white. If you print a picture with a white background onto green paper, the background will be green, not white–because your printer is incapable of printing the color white.
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