In a mixing bowl, combine the chopped salmon, breadcrumbs, beaten egg, dill, lemon juice, garlic powder, salt, and black pepper. Mix until well combined.

Form the mixture into 4 equal patties.

Preheat the grill to medium-high heat. Lightly oil the grill grates.

Place the salmon patties on the grill and cook for about 4-5 minutes on each side, or until cooked through and golden brown.

Place each salmon patty on a toasted bun. Top with shredded lettuce, sliced tomato, and mayonnaise if desired.

Serve with lemon wedges on the side.