To make it short:
I want to draw a line graph with JavaScript without using a (open-source) library. All I work with is JavaScript and jQuery (no-plugins!).
How can I manage this?
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I think you’re overlooking some very powerful libraries, however if you’re determined to do this yourself you’re going to need to use HTML5 and the Canvas object. Have a look at this great tutorial to get you started. Here’s a snapshot of what you’ll need to get to grips with: