Answer:
Lets find the slope of machine 1.
The equation to find the slope with 2 points is m=(y2-y1)/(x2-x1).
So just plug in.
m=(14-7)/(2-1)
The answer for Machine 1 is 7.
Now for machine 2.
The points I chose for machine 2 based off of the graph is (2, 2)(10, 8).
Now just plug in.
m=(8-2)/(10-2)
The answer for Machine 2 is [tex]\frac{3}{4}[/tex]
Machine 1 would be faster since it produces more bottles per second than machine 2.
