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

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:

$Midpoint=M=(\frac{x_{1}+x_{2}}{2},\frac{x_{2}+y_{2}}{2})$

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:

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

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.

Answer 2

Answer:

D) (4,3)

Step-by-step explanation:

PLATO