how can i determine the activation energy of a reaction?

Question

slope= -1.10x10^4 K
y-int=33.5
k has units of s^-1
the temperature varies through each experiment, but is not given
based on a ln(k) versus 1/T plot

Answer 1

ln k = ln ko - (Ea/R) 1/T

If you are sure, the slope of this is known, it is equal to Ea/R.
Ea: activation energy, R: gas constant.
Make sure T (temperature) is in Kelvins.
Make sure the units are consistent.