Question 1184215

Assume that neither A nor B is zero (since that will make the expression {{{x/A + y/B}}} invalid).  
Then the problem implies that the point (A,B) is the midpoint of the segment intercepted between the coordinate axes.

It follows then that the y-intercept of the line is (0,2B) and the x-intercept is (2A,0), and the line itself will have the intercept form given by 


{{{x/(2A) + y/(2B) = 1}}},


which implies that 


{{{x/A + y/B = 2}}}.


Therefore the value of {{{x/A + y/B}}} is {{{highlight(2)}}}.