Revelation

• 1 Nephi 2:16

Nephi prays to the Lord and receives confirmation of his father's prophesies.

• 1 Nephi 15:8-11

Nephi's brothers don't pray, because the Lord does not reveal things to them. Nephi chastises them for failing to live so as to be able to receive revelation, and gets specific about the requirements.

Be humble, exercise faith, and keep commandments.

• Article of Faith 9

We believe in revelation; past, present, and future.

• Tad R. Callister, "The Inevitable Apostasy and the Promised Restoration", p. 77

Cites Papias in the early second century as follows:

"For I imagined that what was to be got from books [the scriptures] was not so profitable to me as what came from the living and abiding voice."

Cites Ralph Waldo Emerson (as cited by Elder Jeffrey R. Holland, "Prophets, Seers, and Revelators", p. 8) as follows:

"It is my duty to say to you that the need was never greater [for] new revelation than now. The doctrine of inspiration is lost. ... Miracles, prophecy, ... the holy life, exist as ancient history [only]. ... Men have come to speak of ... revelation as somewhat long ago given and done, as if God were dead. ... It is the office of a true teacher to show us that God is, not was; that He speaketh, not spake."

• Joseph Smith, compiled by Joseph Fielding Smith, "Teachings of the Prophet Joseph Smith", p. 18 (17-19)

"I will inform you that it is contrary to the economy of God for any member of the Church, or any one, to receive instruction for those in authority, higher than themselves"

• "Spiritual Promptings", Ensign, September 2008, pp. 18-22

Various personal experiences shared by members regarding personal revelation.

• Robert D. Hales, “President Henry B. Eyring: Called of God,” Ensign, Jul 2008, 8–15, Subheading - Listening to the Spirit

President Eyring learns that he should have been praying about job offers and is guided to accept a position at Ricks.

• Elder Boyd K. Packer, Talk to the All-Church Coordinating Council, May 18, 1993

"the doctrines of the gospel are revealed through the Spirit to prophets, not through the intellect to scholars"

• Joseph Smith, compiled by Joseph Fielding Smith, "Teachings of the Prophet Joseph Smith", pp. 111-112

Revelations from God to the Church "are to come through the Presidency. This is the orde of heaven ... It is also the privilege of any officer in this Church to obtain revelations, so far as relates to his particular calling..."

Notes

An acquaintance of mine once shared this experience.
While Serving as the second counselor in his stake's presidency, they had the need to come up with a name to recommend to fill the place of a bishop.
The stake president suggested that the presidency all pray together to ask the Lord who should fill the vacancy. While praying, this friend of mine received the impression that he should fill the vacancy, which caused him no small distress. After the prayer the Stake President looked stright at him and asked him who the next bishop was to be, to which my friend responded rather timidly that it was to be himself. "Oh good!" was the response of the Stake President.
The Stake President and his counselor had already gotten together and prayed about the matter and received the same prompting. It was an unusual prompting and had caused the Stake President and his 1st Counselor some distress. My friend had already been the bishop before and to take a man who had already been bishop and been "advanced" so to speak, to the Stake Presidency and then send him back to being the Bishop of the same ward again was unheard of and simply not done. However, once they had gotten this confirmation, they phoned my friend's name out to get it reproved.
They were told that this was wrong, because such things were not supposed to be done that way. They responded that they had all been independently prompted with the same name, but despite this, they were rebuffed and told to try again. Again they prayed and again they all received the prompting that my friend was to be the new Bishop. Again they called in the name and again they were told it must be wrong. This time, however, it was conceded to take the matter up with the quorum of the twelve.
The response from the quorum of the twelve was to wait. It turned out that the quorum of the twelve had been facing a similar dilema in issuing a call. Soon thereafter the policy was changed and my friend was made the Bishop once again.

Cross-References

• Dreams
• Personal Revelation
• Prophecy
• Scriptures
• Urim and Thummim
• Visions