Let AB be the given line segment making intercepts a and b on the x-axis & y-axis respectively.

Then, the equation of line AB is

x

a

+

y

b

= 1
So, these points are A(a, 0) and B(0, b).
Now, R(h, k) divides the line segment AB
in the ratio 1 : 2.

1×0+2×a

1+2

= h and

1×b+2×0

1+2

= k
⇒ a =

3h

2

and b = 3k
So, the required equation of the line is

x

3h 2

+

y

3k

= 1 ⇒

2x

3h

+

y

3k

= 1