JAMB - Mathematics (2024 - No. 24)
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
Explicació
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.