Preheat your oven to 325°F (165°C).
In a medium bowl, mix together the graham cracker crumbs, sugar, and melted butter until well combined.
Press the crumb mixture into the bottom of a 9-inch springform pan.
Bake the crust for 10-12 minutes, or until lightly browned.
In a large mixing bowl, beat the cream cheese until smooth.
Add the granulated sugar and beat until well combined.
Beat in the eggs one at a time, followed by the yogurt, lemon juice, vanilla extract, lemon zest, and mint.
Pour the filling over the prepared crust and smooth the top.
Bake for 50-60 minutes, or until the filling is set and the edges are slightly puffed.
Let the cheesecake cool completely in the pan before refrigerating for at least 4 hours.
When ready to serve, remove the sides of the springform pan and transfer the cheesecake to a serving plate.
Dust the top with confectioners' sugar and serve with fresh mint leaves.