There is no such thing as the Noahide Laws.

Noah was given an eternal covenant for himself and his offspring. His offspring is all of humanity.

Genesis 9:8-9: (8) And God said to Noah and to his sons with him, saying: (9) "And I, behold I am setting up My covenant with you and with your seed after you."

Law #1: Prohibition of idolatry and Law #2: Prohibition of blasphemy

Genesis 4:26: And to Seth also to him a son was born, and he named him Enosh; then it became common to call by the name of the Lord.

This is a reference to the beginnings of idolatry, which in and of itself is a form of blasphemy. This verse is saying that calling out in prayer to anything but G-d profanes G-d's name (Blasphemy). These people call to idols - whether natural phenomena or actual wood and stone.

Laws Given Directly to Noah
G-d blessed Noah and his seed and made a covenant with them. To say that anything comes from anyone other than G-d or to pray to anyone other than G-d is prohibited simply because of this blessing and covenant.

Genesis 9:12: (12) And God said: "This is the sign of the covenant, which I am placing between Me and between you, and between every living soul that is with you, for everlasting generations."

Laws given in the Christian Scriptures
By abstaining from food offered to the idols, the Gentile believers would not commit idolatry nor would they commit blasphemy.

Acts 15:29: ...that you abstain from things offered to idols, from blood, from things strangled, and from sexual immorality. If you keep yourselves from these, you will do well. Farewell.

Law #3: Prohibition of theft

G-d instructed Adam and Eve not to eat of the forbidden fruit...i.e. it was His property. When they did eat, they in effect stole the fruit and received their due punishment.

Theft is a direct reason for the flood.

Genesis 6:11: Now the earth was corrupt before God, and the earth became full of robbery.

Law Given Directly to Noah
Before the flood, eating meat was prohibited. G-d has given Noah and his descendants the option to eat meat. G-d has given His permission so that Noah and his descendants would know that the prohibition of eating meat is no longer in effect – meaning that it is not stealing from G-d if one eats meat.

Genesis 9:3: Every moving thing that lives shall be yours to eat; like the green vegetation, I have given you everything.

Law given in the Christian Scriptures
By abstaining from food offered to idols, the Gentile believers would not steal food from G-d by blessing an idol and acting as if the food is from the idol and not a gift from G-d.

Acts 15:29: ...that you abstain from things offered to idols, from blood, from things strangled, and from sexual immorality. If you keep yourselves from these, you will do well. Farewell.

Law #4: Prohibition of murder

Genesis 4:8,12: (8) And Cain spoke to Abel his brother, and it came to pass when they were in the field, that Cain rose up against Abel his brother and slew him. (12) "When you till the soil, it will not continue to give its strength to you; you shall be a wanderer and an exile in the land."

Cain kills Abel...Cain is punished.

Lamech rues over the punishment he will receive for committing an accidental murder.

Genesis 4:23-23: (23) Now Lemech said to his wives, "Adah and Zillah, hearken to my voice; wives of Lemech, incline your ears to my words, for I have slain a man by wounding (him) and a child by bruising (him). (24) If Cain shall be avenged sevenfold, then for Lemech it shall be seventy seven fold."

Law Given Directly to Noah
There is a clear reference to murder being prohibited.

Genesis 9:6: Whoever sheds the blood of man through man shall his blood be shed, for in the image of God He made man.

Law given in the Christian Scriptures
By abstaining from blood, the Gentile believers would not be willing to commit murder.

Acts 15:29: ...that you abstain from things offered to idols, from blood, from things strangled, and from sexual immorality. If you keep yourselves from these, you will do well. Farewell.

Law #5: Prohibition of sexual misconduct

Genesis 1:28: And God blessed them, and God said to them, "Be fruitful and multiply and fill the earth and subdue it, and rule over the fish of the sea and over the fowl of the sky and over all the beasts that tread upon the earth."

A primary reason for the relationship between Adam and Eve is to populate the earth. Eve is created as a 'helpmate' to Adam. Thus, sexual conduct within a husband/wife relationship is sanctified and all other types of sexual conduct are not sanctified. There are several examples of the consequences of this: the serpent's attempted seduction of Eve...In Lamech's wives Ada and Tzillah (it is derived that at that time men would take two wives...one to bear them children and the other for fun. Tzillah was the one for fun as evidence by her giving birth to Tubal-Cain where Genesis 4:22 (English) (Hebrew) says And Tzillah too.

As a result of the sons of rulers who took whatever women they chose, G-d issues the decree that in 120 years, He will destroy mankind.

Genesis 6:2-3: (2) That the sons of the nobles saw the daughters of man when they were beautifying themselves, and they took for themselves wives from whomever they chose. (3) And the Lord said, "Let My spirit not quarrel forever concerning man, because he is also flesh, and his days shall be a hundred and twenty years."

Law Given Directly to Noah
Just as Adam and Eve were told to live in a husband/wife relationship, be fruitful and multiply, and avoid sexual misconduct, so were Noah and his family.

Genesis 9:1: And God blessed Noah and his sons, and He said to them: "Be fruitful and multiply and fill the earth."

Law given in the Christian Scriptures
It is clearly spelled out that the Gentile believers were to abstain from sexual misconduct.

Acts 15:29: ...that you abstain from things offered to idols, from blood, from things strangled, and from sexual immorality. If you keep yourselves from these, you will do well. Farewell.

Law #6: Prohibition of eating live meat

Genesis 9:4: But, flesh with its soul, its blood, you shall not eat.

Law Given Directly to Noah
The law against eating live meat is clearly stated in this verse. This also speaks out against animal cruelty and properly butchering meat.

Law given in the Christian Scriptures
It is spelled out that the Gentile believers were to abstain from animal cruelty and improperly prepared meat.

Acts 15:29: ...that you abstain from things offered to idols, from blood, from things strangled, and from sexual immorality. If you keep yourselves from these, you will do well. Farewell.

Law #7: Prohibition of failing to establish courts of justice

Genesis 1:28: And God blessed them, and God said to them, "Be fruitful and multiply and fill the earth and subdue it, and rule over the fish of the sea and over the fowl of the sky and over all the beasts that tread upon the earth."

There is a clear ruling to establish a system of justice.

A hierarchy of people had been established. Although those rulers were evil, as the chapter delineates, the idea of the system is good in two ways...one it emulates Hashem's court and two, later on Moses (with G-d's permission) sets up a justice system so that a single individual is not faced with all the legal questions (and also to help prevent a single person from becoming a tyrant).

Genesis 6:2: (2) That the sons of the nobles saw the daughters of man when they were beautifying themselves, and they took for themselves wives from whomever they chose.

Law Given Directly to Noah
There is a clear reference to murder being prohibited. This also is a reference to the establishment of courts....if one commits murder, then it is up to the courts to convict and punish. We also see throughout the Torah that G-d acts as a court when He chooses to intervene.

Genesis 9:6: Whoever sheds the blood of man through man shall his blood be shed, for in the image of God He made man.

Law given in the Christian Scriptures
If the Gentile believers were to abstain from these things, they would need a justice system to deal with the violations. In addition, James and the Council are also acting as a court system for the Gentile believers.

Acts 15:29: ...that you abstain from things offered to idols, from blood, from things strangled, and from sexual immorality. If you keep yourselves from these, you will do well. Farewell.

*Jewish Scripture from The Complete Jewish Bible with Rashi Commentary
**Christian Scripture from the New King James Version