Question

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

Answer 1

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

Answer 2

Answer:

The correct option is 3.

Step-by-step explanation:

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

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

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.

$Midpoint=(\frac{5+8}{2},\frac{6+2}{2})$

$Midpoint=(\frac{13}{2},\frac{8}{2})$

$Midpoint=(\frac{13}{2},4)$

The midpoint of the given segment is $(\frac{13}{2},4)$. Therefore option 3 is correct.