Question

What is the midpoint of the segment shown below ?

Answer 1

(1,-1) and (4,-6)

midpoint:

x = (1 + 4)/2 = 5/2

y = (-1 - 6)/2 = -7/2

Midpoint (5/2, -7/2)

Answer

D.

(5/2, -7/2)

Answer 2

D.
`((5)/(2),(-7)/(2))`

Explanation:

We have been given length of a line segment on coordinate plane. We are asked to find the coordinates of midpoint of given segment.

The midpoint (M) of a line segment with endpoints
`(x_1,y_1)` and
`(x_2,y_2)` can be found using formula:

`M((x_1+x_2)/(2),(y_1+y_2)/(2))`.

Upon substituting coordinates of our given points in above formula, we will get:

`M((1+4)/(2),(-1+(-6))/(2))`

`M((5)/(2),(-7)/(2))`

Therefore, the midpoint of our given segment is
`((5)/(2),(-7)/(2))` and option D is the correct choice.