NumericalModerate1.5 marks
2(a)
The slope of a line joining P(6, k) and Q(1 - 3k, 3) is 1 / 2. Find
Midpoint of PQ, using the value of ‘k’ found in (i)
Topic: Section / midpoint / centroid
Previous-year question practice database
Answer
Exam answer
From part (i), k = −11.
Therefore: P = (6, −11)
Q = (1 − 3(−11), 3) = (34, 3)
Midpoint of PQ = ((6 + 34)/2, (−11 + 3)/2)
= (40/2, −8/2)
= (20, −4)
Answer:
Midpoint of PQ = (20, −4).
Explanation
Use the value k = −11 obtained in part (i) to get the coordinates of P and Q. The midpoint is found by averaging the two x-coordinates and the two y-coordinates.
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