Half-lap joints for day-bed build?

Question

I'm building a 30"x80" daybed with a simple rectangular structure for the frame. I plan to use 2x6 pine cut to length for the frame. Please do not try to talk me out of the pine, I already have it and know there are better wood options :) The boards on the frame will lay flat and be joined at the four intersections by glued and screwed half-laps. The slats between the boards will be Ikea slats cut to size.
Does my design seem sound? What's the best method for joining the slats to the frame? I plan to order steel legs online for the legs.

Alaska Man · Answer

An edit with a sketch image was added after i wrote the answer below.
As designed in the sketch i would add legs under the half lap joints in the middle. One leg under each joint.
Using 2x6 boards laid flat is not a sound plan. They will be much to flexy and will sag significantly.
Typically a slat bed has a box frame with a cleat on the inside that the slats sit on, they may or may not be secured to the cleat. You will need a center support for the slats that is the same height as the cleat.
You have options for the joinery at the corners, you can use a leg to help strengthen that joint. There are many options and some research will help you decide on something within you abilities.
Many times the slats are connected together with web strapping. Such as these.
If you do a web search for slat bed frame you find many different ways or designs to accomplish your goal.
Here is an illustration from tutorial on Ana-White.com

Half-lap joints for day-bed build?

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