Question

What is the midpoint of the segment shown below?
(2,4) and (2,-7)
A. (2,-3/2)

B. (4,-3/2)

C. (4,-3)

D. (2,-3)

Answer 1

Answer:

A

Step-by-step explanation:

Find the midpoint using the midpoint formula

midpoint = [ $\frac{1}{2}$(2 + 2), $\frac{1}{2}$(4 - 7) ] = (2, - $\frac{3}{2}$)

Answer 2

Answer:

Choice A is correct.

Step-by-step explanation:

Mid-point is half way between two end-points of a line segment.

It is denoted by M.It is represented as coordinate.

The formla to find mid-point of a line segment is

M= ($x_{1} +x_{2}$/2,$y_{1} +y_{2}$/2)

From question statement,we  observe that

$x_{1}$=2    $y_{1}$ =4

$x_{2}$=2   $y_{2}$ =-7

Putting above values in formula to find mid-point,we get

M=(2+2/2,4-7/2)

M=(4/2,-3/2)

M=(2,-3/2) is mid-point of given line segment.