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((x_1+x_2)/(2),(y_1+y_2)/(2)\right)`

Using this formula, the midpoint of AB is

`Midpoint=\left(((3)+(-1))/(2),((-5)+(9))/(2)\right)`

`Midpoint=\left((3-1)/(2),(-5+9)/(2)\right)`

`Midpoint=\left((2)/(2),(4)/(2)\right)`

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

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