2. On the coordinate plane, a point whose both coordinates are integers is called an integer point. Try to find all integer points $(x, y)$ on the graph of the quadratic function $y=\frac{x^{2}}{10}-\frac{x}{10}+\frac{9}{5}$ that satisfy $y \leqslant|x|$, and explain your reasoning.
2. The points that satisfy the conditions are: $(2,2),(4,3),(7,6),(9,9),(-6,6),(-3,3)$.