Question

If the endpoints of `bar(AB)` have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of `bar(AB)`? A. (5, 3) B. (4, 5) C. (5, 5) D. (4, 3)

Answer 1

D) (4,3)

Explanation:

PLATO

Answer 2

We have the segment shown in the Figure below. The midpoint of the line segment joining the points
`(x_(1),y_(1)) \ and \ (x_(2),y_(2))` is given by the Midpoint Formula:

`Midpoint=M=((x_(1)+x_(2))/(2),(x_(2)+y_(2))/(2))`

where:

`A=(x_(1),y_(1))=(9,8) \\ B=(x_(2),y_(2))=(-1,-2)`

Therefore, substituting these values in the midpoint formula we have:

`M=((9-1)/(2),(8-2)/(2))=\boxed{(4,3)}`

So the right answer is D.

We simply use the midpoint formula to find the average values of the respective coordinates of the two endpoints.