A slope field is a visual representation of a differential equation of the form dy/dx = f(x, y). Since the derivative is the slope of the original equation, at each sample point (x, y), you can plug the x and y coordinates into the differential equation to find the slope of the original function at that point. By mapping out the slope field, you can get a general idea of what the original equation can look like without having to solve the for the original function.
dy/dx = (x/y)2
At all points with x=0, dy/dx = (0/y)2 = 0 so the slope will be a horizontal line.
At all points with y=0, dy/dx = (x/0)2 = undefined so the slope will be a vertical line.
At all other points, dy/dx = (x/y)2 = positive (since x/y is squared) so the slope will be positive.
Option 2 is correct since the slope will be positive in all quadrants.