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Here's a Calculus preview of WHY
slopes of lines and equations of lines will be so important.
Tangent lines!
So, what's a tangent
line?
First of all, don't
think of the tangent from trig... Yeah, it's definitely
related, but we don't have to think that hard here.
Check out this
picture:
A tangent line is a
line that touches a graph in one local point so that, when you zoom
in on it, the graph and the tangent line will eventually look the
same.
Why will we need this
in Calculus?
Because we want to
study the exact behavior of graphs at every little point and
section... Lines are much easier to work with than the entire
graph. Tangent lines will give us easy snapshots of what's
going on!
I'll show you more
about this later.
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