First thing to consider is if your Android phone is stock and not rooted you will have to pay for services to tether via wireless hot spot services from your device provided by your carrier.
Most people consider rooting in this situation because it allows you to do wired or wireless tethering for free. You will have to see your options for this based on your device.
Applications from the market vary. There are a few popular names available to achieve the tethering between the smartphone and the device, in you're case tablet.
Google wireless tether
PDAnet
Garden tethering
Those are a few and there are more.
Hope this helps
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