If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?

A.
(5, 3)

B.
(4, 5)

C.
(5, 5)

D.
(4, 3)

Respuesta :

Your answer is D. (4,3)

ANSWER

D(4,3)

EXPLANATION

The endpoints of AB have the coordinates A(9, 8) and B(-1, -2).

To calculate the coordinates of the midpoint of AB, we use the midpoint formula,

[tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

We substitute the coordinates of the endpoints into the formula to get,

[tex]( \frac{9+ - 1}{2},\frac{8+ - 2}{2} )[/tex]

[tex]( \frac{8}{2},\frac{6}{2} )[/tex]

We simplify further to obtain,

[tex]( 4,3)[/tex]