Question

What is the midpoint of the segment shown below?

O A. (5,3)
O B. (5,6)
O C. (, 3)
O D. (56)

Answer 1

The midpoint formula is basically (averaging the x coordinates, averaging the y coordinates).

Point A: (3, 7)

Point B: (2, -1)

Midpoint x: (3 + 2) / 2 = 5 / 2

Mindpoint y: (7 - 1) / 2 = 3

Therefore, the midpoint of the segment is choice C (5/2, 3)

Answer 2

Correct answer is Option C:
`((5)/(2) , 3 )`

Explanation:

Given points (3, 7) and (2, -1), we can use the following Midpoint Formula to find out what is the halfway mark of the given segment:

`M = ((x1 + x2)/(2) , (y1 + y2)/(2) )`

Let x1 = 3

x2 = 2

y1 = 7

y2 = -1

Plug in these values into the Midpoint formula:

`M = ((x1 + x2)/(2) , (y1 + y2)/(2) )`

`M = ((3 + 2)/(2) , (-1 + 7)/(2) )`

`M = ((5)/(2) , (6)/(2) ) = ((5)/(2) , 3 )`

Therefore, the midpoint of the given segment is
`((5)/(2) , 3 )`.