Given,

The straight lines and pass through the origin and trisect the line segment of the line L : 9x + 5y = 45 between the axes,

And m l and m 2 are the slopes of the lines and ,

Now on plotting the diagram we get,

Given equation of line, L : 9x + 5y = 45

Now using the section formula between point A(5,0) & -B(0,9) we get the value of point C & D

and

Now finding the slope m 1 & m 2 we get,

So, equation of line y =(m 1 + m 2 )x will be,

So, intersection point with L will be,

7y = 45

Hence, y- x =

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