WAEC Further Mathematics 2023 Objective — Question 23

Question 23 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

The point P(-3,5) lies on a line which is perpendicular to 2x - 4y + 3 = 0. Find the equation of the line.

A. y-2x-11=0
B. y-2x-1=0
C. y+2x+1=0Correct
D. y+2x+11=0

Explanation

From 2x-4y+3=0, y=(1/2)x+3/4, so gradient m1=1/2. For perpendicular lines m1*m2=-1, so m2=-2. Using y-y1=m(x-x1) with (-3,5): y-5=-2(x+3) => y-5=-2x-6 => y+2x+1=0.

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