WAEC Mathematics 2023 Objective — Question 22
Question 22 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.
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A line L, passing through the point (6,-13) is parallel to the line which passes through (7,4) and (-3,9). Find the equation of the line, L.
- A. y=(1/2)x-10
- B. y=-(1/2)x+10
- C. y=-(1/2)x-10Correct
- D. y=(1/2)x+10
Explanation
Gradient of the given line=(9-4)/(-3-7)=5/-10=-1/2. Since L is parallel, its gradient is also -1/2. Using y-y₁=m(x-x₁) with (6,-13): y+13=-1/2(x-6) → y=-x/2-10.
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