Question

Find the coordinates for the midpoint of the segment with endpoints given. (5, 6) and (8, 2)

(5, 7)
(3/2, 2)
(13/2, 4)

Answer 1

8+5/2
13/2=x
x=13/2
6+2/2
8/2=y
y=4
(13/2,4)

Answer 2

The correct option is 3.

Explanation:

If a line segment have two end points (x₁,y₁) and (x₂,y₂), then the midpoint of the line segment is defined as

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

It is given that we have segment with endpoints (5, 6) and (8, 2).

Substitute x₁=5, y₁=6, x₂=8 and y₂=2 in the above formula.

`Midpoint=((5+8)/(2),(6+2)/(2))`

`Midpoint=((13)/(2),(8)/(2))`

`Midpoint=((13)/(2),4)`

The midpoint of the given segment is
`((13)/(2),4)`. Therefore option 3 is correct.