So the house
bayith (bah'-yith)
a house (in the greatest variation of applications, especially family, etc.)
of Israel
Yisra'el (yis-raw-ale')
he will rule as God; Jisrael, a symbolical name of Jacob; also (typically) of his posterity: --Israel.
shall know
yada` (yaw-dah')
to know (properly, to ascertain by seeing); used in a great variety of senses, figuratively, literally, euphemistically and inferentially
that I am the LORD
Yhovah (yeh-ho-vaw')
(the) self-Existent or Eternal; Jehovah, Jewish national name of God -- Jehovah, the Lord.
their God
'elohiym (el-o-heem')
angels, exceeding, God (gods)(-dess, -ly), (very) great, judges, mighty.
from that day
yowm (yome)
a day (as the warm hours),
and forward
halah (haw-leh-aw')
to the distance, i.e. far away; also (of time) thus far -- back, beyond, (hence,-)forward, hitherto, thence,forth, yonder.