1 Therefore we ought to give the more earnest heed to the things which we have heard, lest at any time we should let them slip.Paul warns those who are already converted to give earnest heed to the Gospel, to not slip away. Obviously, one can fall away and depart from the faith - one of the downsides to the terrible but wonderful gift of agency that we have.
2 For if the word spoken by angels was stedfast, and every transgression and disobedience received a just recompence of reward;
3 How shall we escape, if we neglect so great salvation; which at the first began to be spoken by the Lord, and was confirmed unto us by them that heard him;
4 God also bearing them witness, both with signs and wonders, and with divers miracles, and gifts of the Holy Ghost, according to his own will?
5 For unto the angels hath he not put in subjection the world to come, whereof we speak.
6 But one in a certain place testified, saying, What is man, that thou art mindful of him? or the son of man that thou visitest him?
7 Thou madest him a little lower than the angels; thou crownedst him with glory and honour, and didst set him over the works of thy hands:
8 Thou hast put all things in subjection under his feet. For in that he put all in subjection under him, he left nothing that is not put under him. But now we see not yet all things put under him.
9 But we see Jesus, who was made a little lower than the angels for the suffering of death, crowned with glory and honour; that he by the grace of God should taste death for every man.
10 For it became him, for whom are all things, and by whom are all things, in bringing many sons unto glory, to make the captain of their salvation perfect through sufferings.
11 For both he that sanctifieth and they who are sanctified are all of one: for which cause he is not ashamed to call them brethren. . . .
Paul reminds us of our relationship to Christ. Though God, He is also our Brother. How? Because we are sons and daughters of God, even his "offspring" as Paul taught in Acts 17: 28-29. We call God our Heavenly Father for good reason, for He is the Father of our spirits, as Paul also teaches in Hebrews 12: 9-10. And Christ, who descended here with mortal characteristics, made a little lower than the angels, came to bring many of God's sons and daughters unto glory (verse 10). And through Christ and His sufferings, we can become one with one and more fully be brethren (verse 11).
One little note: the part about being "a little lower than the angels" is a quotation from Psalm 8:
4 What is man, that thou art mindful of him? and the son of man, that thou visitest him?Here the King James translators may have simply choked on the Hebrew word that they translated as "angels." I'd be more comfortable saying angels myself, and can understand their stress. In fact, life would be a whole lot easier for us Latter-day Saints if we simply talked about being angels in the kingdom of God as the blessing awaiting those who accept and follow Christ. But the Hebrew word in Psalm 8 is "elohim" meaning "gods." A little lower than the gods. And it makes no sense if you assume it means human-made idolatrous gods.
5 For thou hast made him a little lower than the angels, and hast crowned him with glory and honour.
6 Thou madest him to have dominion over the works of thy hands; thou hast put all things under his feet: