Those lessons are related to the SDK. So they aren't really useful in your case. Lesson 4 just shows how to use DirectX functions from DirectX SDK.

draw_line3d already uses DirectX, because DirectX is responsible for rendering everything in the games window (models, sprites, particles, etc).
draw_line3d uses particles (and it's pretty slow). My guess is, that (as you own A8 pro) you are using particle instancing and it probably doesn't work correctly with AMD cards.
The best way to resolve this problem will be asking jcl directly, maybe he has some thoughts, maybe he can confirm that instancing is only supported by NVIDIA.

Edit: I think it will be MUCH FASTER to use shaders for your needs, but I'm too limited with my knowledge, to write anything more than I've already shared.