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Mathematics

Grade9

Easy

Question

Find the midpoint of the line segment with endpoints (− 2, 3) and (− 4, 16).

(− 6, 19)
(3, 9.5)
(3, − 9.5)
(− 3, 9.5)

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: (− 3, 9.5)

The line segment with endpoints (− 2, 3) and (− 4, 16) .
Plug in the (x, y) values from the given points and solve.
$open parentheses fraction numerator negative blank 2 blank plus blank minus blank 4 over denominator 2 end fraction comma fraction numerator 3 blank plus blank 16 over denominator 2 end fraction close parentheses$ = (- 3, 9.5)
Therefore, the midpoint of the line segment with endpoints (− 2, 3) and (− 4, 16) is (- 3, 9.5).

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