SOLUTION: What is the slope of the line that passes through (a,2b) and (1/a^2,2b)

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Question 983135: What is the slope of the line that passes through (a,2b) and (1/a^2,2b)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If a%3C%3E1 and a%3C%3E0 , the slope is 0, because then
the two given points would have different x-coordinates,
and the same y=2b .
I believe that would be the expected answer.

If a=1, then a=1=1%2Fa%5E2 and the two points are the same point,
and since there are infinite lines going through a point,
the slope could be any number,
or it could be undefined (if the line is the vertical line x=1 ).

If a=0 , then 1%2Fa%5E2 is undefined, and the point (1/a^2,2b) does not exist.