The coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).
What is the midpoint of line segment AB?
Let C be the mid-point of the line segment AB.
A = (x₁, y₁)
B = (x₂, y₂)
C = (x, y)
Then the midpoint will be
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
AB has endpoints at A(2, 6) and B(6, 8). Then we have
(x₁, y₁) = (2, 6)
(x₂, y₂) = (6, 8)
Then the mid-point will be
x = (2 + 6) / 2
x = 8 / 2
x = 4
y = (6 + 8) / 2
y = 14/2
y = 7
Then the coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).
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