כִּֽי־יִרְחַ֨ק מִמְּךָ֜ הַמָּק֗וֹם אֲשֶׁ֨ר יִבְחַ֜ר יְהוָ֣ה אֱלֹהֶיךָ֮ לָשׂ֣וּם שְׁמ֣וֹ שָׁם֒ וְזָבַחְתָּ֞ מִבְּקָרְךָ֣ וּמִצֹּֽאנְךָ֗ אֲשֶׁ֨ר נָתַ֤ן יְהוָה֙ לְךָ֔ כַּאֲשֶׁ֖ר צִוִּיתִ֑ךָ וְאָֽכַלְתָּ֙ בִּשְׁעָרֶ֔יךָ בְּכֹ֖ל אַוַּ֥ת נַפְשֶֽׁךָ׃
Если место, которое изберет Господь, Бог твой, чтобы поставить имя Его, будет слишком далеко от тебя, то ты убьешь стадо твое и стадо твое, которое дал тебе Господь, как Я повелел тебе, и ты будешь есть в твоих воротах, после всего желания твоей души.
Arukh HaShulchan
Shechita (Ritual slaughtering as dictated in Jewish Law) is a "positive" mitzvah. Shecita is not obligatory (as the case with obligations of Shofar, Succah and Lulav) since if one does not want to eat meat, there is no need to shecht (slaughter) . However, if someone does want to eat meat- there is an obligation to eat the animal only after shechting it, as the verse says, "You shall sacrifice your cattle and sheep like you have been commanded"(Deut. 12:21). Similarly, the shechita of a wild animal (that is kosher) is dictated by Torah law as the verse says regarding a firstborn animal that has a blemish, "...the same way he will eat the deer and the buck" (Deut. 12:22). One learns from this that a wild animal is alike to a domesticated animal in terms of Shechita (See the Sifrei HaMitzvos of the Rambam and the Smag). Furthermore, the shechita of birds is dictated by the Torah since the verse says, "that he will hunt a hunted animal or bird and will pour its blood" (Lev. 17:13). It is concluded from this verse that the pouring of the blood of a bird (which is part of the shechita process of that bird) is the same as that of an animal (see Sifri on Parshas Re'eh). It was taught by Bar Kafra- "This is the set of rules for the animal and the bird and anything that lives in the water" (Lev. 11). 'The bird' has been placed in between 'the animal' and 'anything that lives in the water'...
Arukh HaShulchan
All the laws of Shechita were told to Moshe Rabbenu orally at Sinai like all of the Oral law, as it is written " you may slaughter any of the cattle or sheep that the LORD gives you, as I have instructed you (Deuteronomy.12.21)" This mitzvah is apart of the oral tradition. It is taught in a baraita: "Rabbi Yehuda HaNasi says: The Torah states: “And you shall slaughter of your herd and of your flock, which the Lord has given you, as I have commanded you” (Deuteronomy 12:21). This verse teaches that Moses was previously commanded about the halakhot of slaughter, even though they are not written explicitly in the Torah. He was commanded about cutting the gullet and about cutting the windpipe, and about the requirement to cut the majority of one siman for a bird, and the majority of two simanim for an animal." (According to Tosfot), Rebbe finds an allusion to this in the word "כאשר". The "Alef" (achad) alludes to one siman in a bird, the "Shin" (Shtayim) alludes to two simanim in an animal, and the "Resh" (Rubo) alludes to the majority of one is like the whole. Furthermore, the word כאשר is the reverse acrostic of רובו של אחד כמוהו the majority of one is like the whole.
Mishneh Torah, Positive Mitzvot
To slay, according to the ritual, cattle, deer, and fowl, and then their flesh may be eaten, as it is said, “….thou shalt kill of thy herd, and of thy flock as I commanded thee” (Deut. 12:21).