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Mathematics

Grade9

Easy

Question

Find the midpoint of a line segment with endpoints at (1, 6) and (9, 9) ?

(0, 0)
(5, 7.5)
(4.5, 4.5)
(5, 7)

hint Hint:

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 correct answer is: (5, 7.5)

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.
$open parentheses fraction numerator 9 plus 1 over denominator 2 end fraction comma fraction numerator 9 plus 6 over denominator 2 end fraction close parentheses$
$open parentheses fraction numerator 10 over denominator 2 end fraction comma fraction numerator 15 over denominator 2 end fraction close parentheses$
We can simplify the fraction to get the final answer.
(5, 7.5)
Therefore, the midpoint of a line segment with endpoints at (1, 6) and (9, 9) is (5, 7.5).

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