Congratulations to those of you who correctly
answered this problem. Holly from Stoke by Nayland Middle School
sent in this solution:
If the man gets closer to his house then the graph line gets
lower and lower.
The slower the man walks the more curvy the line gets, if the man
goes away from the house really slowly and then really slowly
towards the house then you can make a curvy line.
To make it steeper you have to make him go faster and then when you
are on the bend you stay still for a bit to make it smoother.
Dominic gives a concise answer:
To curve steeper you would have to walk faster and to curve
shallower you would have to walk slower.