Dear student
the threshold frequency is a property of the object not of the incident light. let us say that E amount of energy is required to withdraw an electron from a metal surface. So, the incident light must deliver so much of energy to be able to witdraw an electron
let the frequency of the light be f
energy of the light = hf (h=planks constant)
If
hf=E
then f is the threshold frequency of the metal
so, threshold frequency is property f the object not the light.
so, threshold frequency of metal does not define the intensity of the light.
Yes, for light itself, the intensity is more if frequency is more.
regards