How do you find the coordinates of the other endpoint of a segment with the given N(5,-09), and midpoint M(8, -7.5)?

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Answer 1 · 2017-08-12T14:42:53

$(11, - 14.1)$ $(11, - 14.1)$

First, let's find the difference between the coordinates of $M$ $M$ and $N$ $N$ :

$\Rightarrow M - N = (8, - 7.5) - (5, - 0.9)$ $Rightarrow M - N = (8, - 7.5) - (5, - 0.9)$

$\Rightarrow M - N = (8 - 5, - 7.5 - (- 0.9))$ $Rightarrow M - N = (8 - 5, - 7.5 - (- 0.9))$

$therefore M - N = (3, - 6.6)$

If we add this difference to $M$ , we will find the coordinates of the other endpoint $O$ of this segment:

$Rightarrow O = M + (M - N)$

$Rightarrow O = (8, - 7.5) + (3, - 6.6)$

$Rightarrow O = (8 + 3, - 7.5 + (- 6.6))$

$therefore O = (11, - 14.1)$

Therefore, the coordinates of the other endpoint of the segment are $(11, - 14.1)$ .