Preheat your oven to 350°F.
In a medium bowl, combine graham cracker crumbs, sugar, and melted butter until well mixed. It should resemble wet sand.
Evenly press the mixture into the bottom and along the sides of a 9-inch pie dish.
Bake the crust for 8-12 minutes, then take it out of the oven to cool slightly.
In a bowl, beat cream cheese and sugar until smooth.
Add the eggs one at a time, beating well after each addition.
Mix in yogurt, vanilla extract, and lemon juice until just combined.
Pour the filling into the prepared crust.
Reduce the oven temperature to 325°F. Bake the pie for 30 to 40 minutes, or until the center is nearly set.
Allow the pie to cool on a wire rack for 1 hour, then refrigerate for at least 2 hours before serving.
Serve with whipped cream and fresh fruit if desired.