What are two generalizations that describe how the trends in atomic electronegativity vary with atom positions in the periodic table?

Answer 1

From going left-right in a period, the electronegativity increases.

By going up-down in a group, the electronegativity decreases.

(those 2 are what they are looking for)

Answer 2

As you move from left to right across a period in the Periodic Table, atomic electronegativity generally increases, since elements are gaining more protons in the nucleus, which enhances their ability to attract electrons. In contrast, as you move down a group in the periodic table, atomic electronegativity generally decreases, as the size of the atoms increases and the outer electrons are farther from the nucleus, reducing the attraction for electrons.