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Mathematics

Grade9

Easy

Question

A line segment has endpoints at (2, 3) and (− 7, 3). Find the midpoint of this segment?

(− 5, 3)
(− 4.5, 0)
(− 2.5, 3)
(− 4.5, 3)

hint Hint:

The formula to find midpoint of line segment bounded by two points and is $open parentheses fraction numerator x subscript 1 end subscript plus x subscript 2 end subscript over denominator 2 end fraction comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses$

The correct answer is: (− 2.5, 3)

The formula to find midpoint of line segment bounded by two points and is $open parentheses fraction numerator x subscript 1 end subscript plus x subscript 2 end subscript over denominator 2 end fraction comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses$
Plug in the (x, y) values from the given points and solve.
A line segment has endpoints at (2, 3) and (− 7, 3).
$open parentheses fraction numerator negative 7 plus 2 over denominator 2 end fraction comma fraction numerator 3 plus 3 over denominator 2 end fraction close parentheses$
$open parentheses fraction numerator negative 5 over denominator 2 end fraction comma fraction numerator 6 over denominator 2 end fraction close parentheses$
(- 2.5, 3)
Therefore, the midpoint of this segment is (- 2.5, 3).

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