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WAEC Mathematics 2019 Objective — Question 35

Question 35 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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35. Find the equation of a straight line passing through the point (1,−5) and having gradient 3/4

  • A. 3x+4y-23=0
  • B. 3x+4y+23=0
  • C. 3x-4y+23=0
  • D. 3x-4y-23=0Correct

Explanation

y−y₁=m(x−x₁) ⇒ y−(−5)=(3/4)(x−1) ⇒ 4(y+5)=3(x−1) ⇒ 4y+20=3x−3 ⇒ 3x−4y−23=0.

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