# Find the equation of the line which intercepts a length 2 on the positive direction of the x – axis and is inclined at an angle of 135° with the positive direction of the y – axis.

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 135o on y – axis, then angle on the x – axis is

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

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.

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