Interpreting coefficients of a continuous variable interacted with a categorial variable in regression

[Meng Yu]

In a xtlogit model

xtlogit mental_health i.gender i.age income#i.province

Can I use

margins, dydx (income) at (province=(0 1 2 3 4))

to interpret the coefficients?
Thank you.

[Meng Yu]

I must have written this post real quick and now I cannot edit it anymore. I meant

xtlogit mental_health i.gender i.age c.income##i.province

. The variable province has five categories. I wonder if I have to write the categorical variable first.

I also wonder when labeling the table presenting the results, if I should call it "predicted mental health by respondents' income and province of residence" or "marginal effect of income on respondents' mental health by province of residence."

Thank you.

[Meng Yu]

I found it does not matter whether the continuous variable is before or after "##." I wonder when we interpret results from an interaction between a continuous and a categorical variable, can we do it the same way as two categorical variables interacted? Thank you.