According to the known conditions, if the straight line passes through point (0,2) and the slope is a, then the straight line equation is y-2=a(x-0), that is, y=ax+2. (You don't need to solve the linear equation, you just need the slope). The asymptote of hyperbola is y=+-√3x, so the drawing shows that A has only two intersections between -√3 and +√3x. -√3 & lt； a & lt√3