Find the equation

Given, A line which cut off an intercept a length w from the x – axis.

To Find: Find the equation

Formula used: The equation of line is [(y – y₁) = m(x – x₁)]

Explanation: If a line is inclined at angle 135^o on y – axis, then angle on the x – axis is

Angle θ = 135^o and θ = (180 – 135) = 45^o

Then, The slope of the line, m = tan θ

m = 1

Since the line passes through the point (2,0)

Now, The equation of line is (y – y₁) = m(x – x₁)

(y – 0) = 1(x – 2)

y = x – 2

x – y – 2 = 0

Hence, The equation of the line is x – y – 2 = 0.