Question

ForAB¯¯¯¯¯¯¯¯ A B ¯ , point A has coordinates (3, -5) and point B has coordinates (-1, 9). What are the coordinates of the midpoint of AB¯¯¯¯¯¯¯¯ A B ¯ ? (2, 7) (2, 7) (-1, 4) (-1, 4) (2, 4) (2, 4) (1, 2)

Answer 1

Given:

Two points are A(3,-5) and B(-1,9).

To find:

The midpoint of AB.

Solution:

Formula for midpoint is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Using this formula, the midpoint of AB is

$Midpoint=\left(\dfrac{(3)+(-1)}{2},\dfrac{(-5)+(9)}{2}\right)$

$Midpoint=\left(\dfrac{3-1}{2},\dfrac{-5+9}{2}\right)$

$Midpoint=\left(\dfrac{2}{2},\dfrac{4}{2}\right)$

$Midpoint=\left(1,2\right)$

Therefore, the midpoint of AB is (1,2). Hence, the correct option is D.