Dig access holes at both sides of the slab, using the shovel. Be sure the two match up exactly and are large enough for you to stand in and to allow room to feed the rigid steel pipe under the slab. Dig below the concrete and any underlayment, such as gravel, to get to the soil level.
Attach a length of steel pipe as long as the slab is wide to the garden hose. Attach the reducer at the other end of the pipe to build up water pressure.
Turn on the water and gently start feeding the pipe into the access trench. As it blasts away soil, continue to feed it until it breaks through into the opposite trench.