How to repair porch slab that has bricks embedded inside it
I'd shim a board neatly underneath the cement and brick overhang.
Use cinder blocks or bricks to jam a piece of pine somewhat longer than the break up against the solid cement, and pour fresh concrete into the resulting mold. Hit that brick with a steel brush on a drill before starting. It looks like it's going bad. You'll want to erode it down to a solid surface. Wear a dust mask.
Once the concrete has set, remove the wood and use an angle grinder disk to match the bevel of the rest of the cement. Angle grinder is best, but you can get away with a drill, and any number of grinding bits. Again, a dusk mask is essential. Paint the new cement after a month or so, so everything matches.