JAMB Mathematics 2022 Paper

Concept:The midpoint of a line segment is found by taking the average of the corresponding coordinates of the two endpoints.Explanation:Let the two points be $A(-3,5)$ and $B(2,10)$.For point $A$: $x_1 = -3$ and $y_1 = 5$.For point $B$: $x_2 = 2$ and $y_2 = 10$.The midpoint formula is given by:$$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$Substitute the known values into the formula:$$M = \left( \frac{-3 + 2}{2}, \frac{5 + 10}{2} \right)$$Simplify each coordinate:$x$-coordinate: $\frac{-3 + 2}{2} = \frac{-1}{2}$$y$-coordinate: $\frac{5 + 10}{2} = \frac{15}{2}$Therefore, the midpoint is $\left( -\frac{1}{2}, \frac{15}{2} \right)$.Answer:$\left( -\frac{1}{2}, \frac{15}{2} \right)$, which is Option D.