Start by combining the graham cracker crumbs and melted butter in a mixing bowl. Stir until the crumbs are well coated. Press this mixture firmly into the bottom of the slow cooker to form an even crust.
In another large mixing bowl, beat the softened cream cheese until smooth. Add the sour cream, granulated sugar, flour, vanilla extract, and salt, and mix until fully combined.
Add the eggs one at a time, mixing well after each addition. This will help to incorporate air into the batter, ensuring a light and fluffy texture.
Carefully pour the cheesecake filling over the crust in the slow cooker. Use a spatula to smooth the top if necessary.
Cover the slow cooker with its lid and cook on low for about 4 to 6 hours. Check for doneness at the 4-hour mark; the cheesecake should be set around the edges but slightly jiggly in the center.
Once cooked, turn off the slow cooker and let the cheesecake cool in the pot for about an hour. Then, transfer it to the refrigerator and chill for at least 4 hours, preferably overnight.