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mylen [45]
4 years ago
6

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

Mathematics
2 answers:
Allisa [31]4 years ago
7 0
8+5/2
13/2=x
x=13/2
6+2/2
8/2=y
y=4
(13/2,4)
Fantom [35]4 years ago
4 0

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.

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