Okay so Im reading a book on analytic geometry because my algebra class is starting to really bore me, and I ran across this:(adsbygoogle = window.adsbygoogle || []).push({});

slope = m = -1/2 (easy enouph)

but then it states "since the slope is the tangent of the angle of inclination θ, we have: tan θ = -1/2

okay so I guess my first question is: What is a tangent in analytic geometry?

continuing with my story: the very next thing it gives my is theangle of inclination

So for this it goes: θ = tan^-1 (-1/2) = 153°26'.

What the heck? Can someone explain this problem above in greater detail. I know that tan^-1 is the inverse of tan but without understanding what tangent actually is that doesnt help me much. Also, how do you calculate this to get the answer? I have looked at a ton of online sources but cant seem to find any answers to my questions.

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# Analytic Geometry Question:

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