Place two sprigs of mint in a blender or food processor (a small capacity blender works great for this). Add tequila, triple sec, lime juice, and simple syrup to the blender.

Blend for 10-15 seconds. You want to break down the mint, but over-blending will result in a deeper green colored drink with unbalanced flavor. Set aside.

Run a wedge of lime around the rim of the glass and then invert the glass on a small plate of coarse salt to coat the rim.

Fill the glass with ice.

Strain the blended margarita through a sieve over the ice in the prepared glass.

Garnish drink with a lemon slice and a sprig of mint.