If (-2, -4) is the midpoint of (6, -7) and (x, y) then the values of x and y are

x = 2, y = 1

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x = -10, y = -1

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x = 10, y = -1

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x = -8 , y = -1

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none of these

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Solution

The correct option is E x = 10, y = -1
Since, $(- 2, - 4)$ is the midpoint of $(6, - 7)$ and $(x, y) .$
$\Rightarrow \frac{x + 6}{2} = - 2$ $\Rightarrow x = - 10$
and $\frac{y - 7}{2} = - 4$ $\Rightarrow y = - 1$
Option D is correct.

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