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Mathematics

Grade9

Easy

Question

Find the midpoint of these two points: (− 2, 13) and (4, − 9)

(1, 2)
(4, 2)
(2, 1)
(− 1, 2)

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: (1, 2)

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.
The midpoint of these two points: (− 2, 13) and (4, − 9)
$open parentheses fraction numerator negative 2 plus 4 over denominator 2 end fraction comma fraction numerator 13 plus left parenthesis negative 9 right parenthesis over denominator 2 end fraction close parentheses equals open parentheses fraction numerator 2 over denominator 2 end fraction comma fraction numerator 4 over denominator 2 end fraction close parentheses$ = (1, 2)
Therefore, the midpoint of these two points: (− 2, 13) and (4, − 9) is (1, 2).

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