To earn money online with your laptop you can start an online store either on ebay or by using a shopify.
You can then sell your own products or do drop shipping of others products and inventory while you collect your profit and then purchase the items from the drop shipper and have the drop shipper ship the item to your customer.
You can also start a blog and pick a topic you know a lot about and that has keywords that get a lot of searches in google and you can make money off of Adsense or affiliate products or services or even sell your own products or services.
Blogging is not a get rich quick scheme though and it will require working long hours for little to no pay in the beginning for at least a few years.
But expect it to take at least 5 years before you really start seeing money from your blog or website.
The money will come from your blog once you build up traffic which will take time so don't give up. Stick with it for years and you'll reap the rewards of money for years and years to come off of that hard work you did in the beginning.
But you still must work on adding new content to your blog so it won't go stale and lose search traffic and google rankings.
Google favors sites that have a lot of quality content that have been online for years and are constantly updated.