A dashed line that a graph of a curve approaches but never goes past. *
hyperbola
solid
book
Asymptote

A dashed line that a graph of a curve approaches by never goes past is an asymptote.

An asymptote is what we draw on the graph to accompany a hyperbola. The hyperbola curves up or down to it, but never passes it.

Hope this helps! :)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)