the equation of line is

3x + 1 = 6y – 2 = 1 – z

This can be written as

To make it a cartesian equation we need to make the coefficient of x, y, z to be 1

Therefore the cartesian equation is

….(1)

the Cartesian equation of the line is

….(2)

Therefore on comparing (1)&(2)

The fixed point through which it passes is

And the direction ratios are

Let

…(3)

….(4)

Hence comparing 3&4