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Mathematics

Grade9

Easy

Question

Find the midpoint for (4, 3) and (6, 9).

(3, 6)
(5, 6)
(0, 6)
(6, 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: (5, 6)

The midpoint of a line segment is halfway between the two x values and halfway between the two y values. Mathematically, that would be the average of each coordinate.
The midpoint for (4, 3) and (6, 9) is
$open parentheses fraction numerator open parentheses 4 plus 6 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses 3 plus 9 close parentheses over denominator 2 end fraction close parentheses$
$open parentheses fraction numerator 10 over denominator 2 end fraction comma fraction numerator 12 over denominator 2 end fraction close parentheses$
$open parentheses 5 comma 6 close parentheses$
Therefore, the midpoint for (4, 3) and (6, 9) is (5, 6).

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