Option F shows a proportional relationship.
Which graph shows a proportional relationship between x and y?
A proportional relationship between x and y can be written as:
y = k*x
Wher k is the constant of proportionality.
Notice that if x = 0
y = k*0
0 = 0
So a proportional relation always passes through the origin (0, 0).
From the given graph only one passes through the origin, which is option F, that is the correct option.