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

Rajshahi Board 2023

If 3x − 2y − 7 = 0 is the equation of a straight line, which of the following is correct?

  1. i. the slope of the line = 3/2
  2. ii. the line passes through (3, 1)
  3. iii. the y-intercept of the line is 7 units

Think it through first, then pick an option.

  1. a i and ii
  2. b i and iii
  3. c ii and iii
  4. d i, ii and iii
Answer and explanation

Correct answer: a i and ii

The slope is 3/2 (i true); (3, 1): 9 − 2 − 7 = 0 (ii true); the y-intercept is −7/2, not 7 (iii false).

Why the other options are wrong

  • b i and iii: ii is true: 3 · 3 − 2 · 1 − 7 = 0 holds And iii is false: x = 0 gives y = −7/2
  • c ii and iii: i is true: y = (3/2)x − 7/2, slope 3/2 And iii is false: x = 0 gives y = −7/2
  • d i, ii and iii: iii is false: x = 0 gives y = −7/2 The slope is 3/2 (i true); (3, 1): 9 − 2 − 7 = 0 (ii true); the y-intercept is −7/2, not 7 (iii false).