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

Jashore Board 2024

If the line through (0, 3) and (a, 2) has slope 1/4, what is a?

Think it through first, then pick an option.

  1. a −8
  2. b −4
  3. c 4
  4. d 8
Answer and explanation

Correct answer: b −4

(2 − 3)/(a − 0) = 1/4, so a = −4.

Why the other options are wrong

  • a −8: (2 − 3)/(a − 0) = 1/4, so a = −4. So −8 is not the answer.
  • c 4: For a = 4 the slope is −1/4; the rise is −1, so a must be negative.
  • d 8: (2 − 3)/(a − 0) = 1/4, so a = −4. So 8 is not the answer.