Given, the direction ratios of the line are proportional to (0, 1,-1)

Therefore, consider the direction ratios of the give line can be

a = 0 × k, b = 1 × k, c = (-1) × k

[where k is some proportionality constant]

Now the direction ratios of the line are

a = 0, b = k, c = -k

As we know the direction cosine of z-axis can be given by

cos γ = n where γ is the angle made by the line with the z-axis.

By using the above formula:

[As cosine function is negative, the angle become 135° instead of 45° ]

The inclination of the line with z-axis is