Draw the temperature versus distance graph

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hyper
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Hello, I have two materials with different thermal conductivity.
http://img4.imageshack.us/my.php?image=heat.png

I am supposed to draw the temperature vs. distance graph between 23 K and 200K. I assume that in it is a linear decrease if you look at only one of the materials, but they have different slopes because of the different thermal conductivity properties? Is there a easy way to relate the slope to the thermal conductivities?

PS:

Later in the assignment I am supposed to calculate the temperatures where the materials meet. If I do this first, this would answer my question. But I am wondering if you can draw this without doing any calculations?
 
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lanedance:

If you read my post you will see that my question is allmost a yes or no question.
 
"should be a big hint there if you write out the equation... "

Thank you, this statement made me figure it out.