Answer: The correct graph is option B.
Step-by-step explanation:
The slope of the line that passes through (a,b) and (c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
The slope of a line that passes through points (5,11) and (30,66):
[tex]m=\dfrac{66-11}{30-5}\\\\=\dfrac{55}{25}\\\\=\dfrac{11}{5}[/tex]
The graph of the line is shown below( in the attachment):
We can clearly see that the graph is passing through origin and (35,77).
I.e. The correct graph is option B.
