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.

Answer :

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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