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3 years ago

The line segment has an endpoint (5,-6) and the midpoint is (-2,3). Find the other point.

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

Answer:

(-9,12)

Step-by-step explanation:

$Endpoint\:= (5,-6) = x_1,y_1\\Midpoint = \: (-2,3)=x\:,y\\\\x = \frac{x_1+x_2}{2}\\\\ -2 = \frac{5+x_2}{2} \\-4 = 5+x_2\\-4-5=x_2\\-9 =x_2\\\\y = \frac{y_1+y_2}{2} \\\\3 = \frac{-6+y_2}{2} \\6 = -6+y_2\\6+(6)=y_2\\6+6=y_2\\12=y_2\\x_2 ,y_2=(-9,12)$

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