Let the equation of line be
+=1 ........(1)
Where a is x-intercept and b is y-intercept.
The line is passing through (2,3). So, (2,3) should satisfy the equation of line.
Put x = 2 & y = 3 in equation (1)
+=1 .........(2)
Now, we have given that the intercept on the positive y-axis equal to twice its intercept on the positive x-axis.
So, b = 2a
Put b = 2a in equation 2
+=1 ⇒ 2 + 3/2 = a
⇒ a = 7/2
Now, b = 2a = 7
So, equation of line will be,
+=1 ⇒2x+y=7