Q. 93.7( 8 Votes )
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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