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## Problem solving and data analysis

# Key features of graphs — Basic example

## Video transcript

- [Instructor] Nayeli created
a social media account for her company, and she tracks the account's
number of followers on the graph below. On what interval did
the number of followers increase the fastest? Pause this video and see
if you can figure that out. All right, so when we look at this graph, the horizontal axis is time, the vertical axis is number of followers. So, really, what we're looking for, the interval where we
have the highest slope. So we can just eyeball it right over here, and we can see that this slope right over here
is higher than this slope. And just as a reminder,
slope is rise over run. So every time you increment
your time by one month, how much did you rise? Clearly, we rose more over this interval than we did over this
interval for a month. But then this one over here
is looking really interesting, because just in one month,
we don't have a scale on the number of followers, but it's clear we got a very large rise. And so the slope is the
largest right over here, larger than any other point on this graph. So that's between two and three months. So I am liking this choice right over here.