Question

9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)

A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)

Answer 1

B. (2,5)

Explanation:

Given

Points: (6,3), (-2,7)

Required

Midpoint

Midpoint is calculated as follows:

`(x,y) = ((x_1+x_2)/(2),(y_1+y_2)/(2))`

Where

`(x_1,y_1) = (6,3)`

`(x_2,y_2) = (-2,7)`

So,

`x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7`

By substituting these values in the given formula

`(x,y) = ((6-2)/(2),(3+7)/(2))`

`(x,y) = ((4)/(2),(10)/(2))`

`(x,y) = (2,5)`

Hence, the midpoint of the line segment is (2,5)