If a straight line cuts intercepts from the axes of coordinates the sum of the reciprocals of which is a constant k, then the line passes through the fixed point

Let the equation of the line bexa+yb=1                                                                    (1)Its intercepts on x-axis and y-axis are a and b respectively.Given:1a+1b=k⇒1ak+1bk=1  or1/ka+1/kb=1                              (2)From (2) it follows that the line (1) passes through the fixed point1k,1k