Straight Lines · JEE Preparation Mathematics

A line has an inclination of 135° with the positive direction of the x-axis and passes through the point (2, 3). Which of the following is its equati…

Practice question from Straight Lines (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-9A028F

A line has an inclination of 135° with the positive direction of the x-axis and passes through the point (2, 3). Which of the following is its equation?

  1. A.x + y - 5 = 0Correct answer
  2. B.x - y + 1 = 0
  3. C.x + y + 5 = 0
  4. D.x - y - 5 = 0

Solution

The slope is m=tan⁡135∘=−1m=\tan 135^\circ=-1. Using the point-slope form, y−3=−1(x−2)y-3=-1(x-2), which simplifies to x+y−5=0x+y-5=0.

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