First off, that's the declaration of independence... second, yes, Life is part of that.
Third - and sadly, most forgotten - the Constitution (nor the Declaration of Independence, nor any other documents our government is founded on) does not delineate what our rights are. It states where those "unalienable rights" may be abrogated for the formation of a "more perfect union".
In other words, it is not the Constitution or the government that it founds that gives us the right to free speech, or freedom of religion, or life, liberty and the pursuit of happiness, or any of those. Our freedom is part and parcel of the human condition. The philosophy espoused by the US Constitution is that we voluntarily sacrifice some of these rights - giving our government the power to suspend some of those natural rights - in order to maintain order.
Why is this important? What is the difference between this philosophy and one where our rights are granted to us by the government? Because the latter puts the power squarely in the hands of the government and it is by their goodwill alone we are allowed our freedoms; the former insists that power remains with the people and it is only by their consent we are governed. It may only be a philisophical distinction but it is an important one and should not be glossed over.
So whenever somebody says "the Constitution does not give us that right", please remind them that is neither in its purpose nor its purview. Just because it is not mentioned does not mean we do not have that freedom; in fact the Tenth Amendment even goes so far as to remind us of this fact.