P (a, b) is the midpoint of a line segment between axes. Show that equation of the line is `x/a+y/b=2.`

Explanation

equation of a line whose x and y intercepts are given is x/A + y/B = 1. where, A= x intercept and B= y intercept.

cordinates of points where it will cut x and y axis are (A,0) , (0,B) respectively.

now the mid point of line joining these two points is ( (A+0)/2 , (0+B)/2) = (A/2 , B/2)

Now, equate these cordinates with the given cordinates of midpoint

...