At 1003K is the ferrite -> pearlite transformation.
At 1573K, there are two phase boundaries, the austenite liquidus and the austenite solidus. Which one do you need ? (I assume you are not interested in the cementite melting curve)
Also how much accuracy do you need in the slopes ? My accurate data is in the lab, and I won't get there till tomorrow.
Right now, I can give you a couple of not so accurate numbers.
Slope of austenite solidus @ 1573K = 216K/%C (+/- 3K/%C)
Slope of austenite liquidus @ 1573K = 107K/%C (+/- 7K/%C)