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Is there anything else this question is asking me to do?
(It's just worded confusingly to me)

other than that, you did well at finding x=c that has a slope equal to the slope between x=a and x=b

What do mean by define how it applies?

what are the required conditions for the MVT to be applicable?

The function must be continuous and differentiable

one of the common examples of a fail for this is
f(x) = 1/x, on the interval (-1,1)

I could post the problem if it would help

Is there a formula to finding the slope of the secant line?

Oh nevermind! It's 2/3.
I've already solved for it.

:)
f(b)-f(a)
-------
b-a

So how would I find the parallel lines?

parallel lines have the same slope ....

So it would be any function with the slope 2/3?

the derivative of the function (if one is given) define the slope at any single point

any value x=c of which f'(c) = 2/3

this is just another wording of the MVT

Okay thank you!

youre welcome
was stuck in OS limbo for a bit :/