How do you find the coordinates of the other endpoint of a segment with the given endpoint of a segment is (12, -8) and the midpoint is (3, 18)?

1 Answer
Alan P.
Jun 22, 2016

The other end is at (-6,44)

Explanation:

The vector displacement from (12,-8) to (3,18) is
color(white)("XXX")vec(""(3-12,18-(-8)))= vec(""(-9,26))

A point twice as far away from (12,8) (but through (3,18)
would have a vector displacement of
color(white)("XXX")2xxvec(""(-9,26))=vec(""(-18,52))
from (12,-8)

(12,-8)+vec(""(-18,52))=(-6,44)

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