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JAMB Mathematics 2024 Paper

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Question : 24

Total: 50

P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.

12
9
8
7

Solution:

midpoint(x) = $\;\frac{x_1 + x_2}{2}$

midpoint(y) = $\;\frac{y_1 + y_2}{2}$

Given (9, 6)

midpoint(x) = $\;\frac{x + 10}{2}$ = 9

x + 10 = 2 x 9 = 18

x = 18 - 10 = 8.

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