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Mathematics

Grade9

Easy

Question

Find the midpoint of the line segment which connects (− 6, 8) and (2, 12) ?

(− 8, − 4)
(8, 4)
(− 2, 10)
(2, 10)

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, 10)

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 of the line segment which connects (− 6, 8) and (2, 12)
$left parenthesis fraction numerator negative 6 space plus space 2 over denominator 2 end fraction space comma fraction numerator 8 space plus space 12 space over denominator 2 end fraction space right parenthesis space left parenthesis fraction numerator negative 4 over denominator 2 end fraction space comma 20 over 2 right parenthesis left parenthesis negative 2 space comma space 10 right parenthesis$
Therefore, our midpoint is (− 2, 10).

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