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Question
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 y-axis.
Solution
The required line is shown in the following figure.
The line which is inclined at an angle of 135° with the positive direction of y-axis makes an angle of 45° with x-axis.
Here,
\[m = \tan {45}^\circ = 1\]
Thus, the equation of the required line passing through (2, 0) with slope 1 is
\[y - 0 = 1\left( x - 2 \right) \]
\[ \Rightarrow x - y - 2 = 0\]
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