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MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry

Dhaka Board 2023

Which is the equation of the line through (3, 4) with slope −3?

Think it through first, then pick an option.

  1. a y + 3x = 5
  2. b y − 3x − 5 = 0
  3. c y + 3x − 13 = 0
  4. d y − 3x + 13 = 0
Answer and explanation

Correct answer: c y + 3x − 13 = 0

y − 4 = −3(x − 3), that is y + 3x − 13 = 0.

Why the other options are wrong

  • a y + 3x = 5: Putting (3, 4) in y + 3x = 5 gives 13 ≠ 5; the point does not satisfy it.
  • b y − 3x − 5 = 0: y − 4 = −3(x − 3), that is y + 3x − 13 = 0. So y − 3x − 5 = 0 is not the answer.
  • d y − 3x + 13 = 0: y − 4 = −3(x − 3), that is y + 3x − 13 = 0. So y − 3x + 13 = 0 is not the answer.