Answer: \(y = 4x\)
Step-by-step explanation:
The standard equation of a line in intercept form is given by :-
\(y=mx+c\ \ \ \ \ \ \ (i)\), where m is the slope of the line and c is the y-intercept.
The graph shows the price, y, in dollars, of different amounts of granola, x, in pounds:
From the graph , it can be seen that the line is passing from the origin (0,0).
Put x=0 and y=0 in (i) , we get c=0
Also, at x= 2, we have y=8
Put these values in (i) , we get
[tex]8=m(2)+0\\\\\Rightarrow\ m=\dfrac{8}{2}=4[/tex]
Now, the equation best represents the relationship between x and y will be
\(y = 4x+0\\\\\Rightarrow\ y = 4x\)
