Consider that long before the Mosaic law, Cain was cursed because he killed Able.
Notice also the account in Genesis 9:4-7
4 But you shall not eat flesh with its life, that is, its blood.
5 And for your lifeblood I will surely demand an accounting. I will demand an accounting from every animal. And from each human being, too, I will demand an accounting for the life of another human being.
6 “Whoever sheds human blood,
by humans shall their blood be shed; for in the image of God
has God made mankind."
1) Verse 4 defines life as its blood.
2) The parallel phrasing of the rest of the passage demonstrates that the phrase "shedding of blood" is synonymous with taking a life/killing.
These pre-date the Mosaic law and the underlying principle is inherent in Creation.
Avrohom Yitzchok's points out that the passage you inquired about was not considered to address the taking of a life. However elsewhere in the Mosaic law we gain further insight into the judgement of God on the matter of taking a life:
Leviticus 24:21, NKJV:
And whoever kills an animal shall restore it; but whoever kills a man
shall be put to death.
We also find some qualification on the issue in Numbers 35:11-30 which indicate that a scapegoat is to be provide for a manslayer who kills accidentally.