Question

how to proceed?!......

Answer 1

i hope it will help you

Answer 2

The process you have followed is correct.

you found the x and y coordinate of the point (in terms of k) using section formula.

Now that point lies on the line. So the x and y coordinate that you got from the section formula must satisfy the equation of the line.
So you can put the value of x and y coordinate (which is in terms of k) in the equation. this will give you the k value and you can find x and y.


Now, coming to your doubt, if the equation was 2x-y-2=0, what will you do?

Very simple: Equation is changed. so put the value of x and y(which is in terms of k) in the new equation.
You just need to put the value of x and y( which you got from the section formula) in the GIVEN equation.

The given equation is x-y-2=0; so you have put the values of x and y there.
If the equation was 2x-y-2=0; you should have put the values of x and y there.