SOLUTION: A map of a town is drawn on a coordinate grid. The high school is found at point (3,1) and the town hall is found at (-5,7). if the high school is at midpoint between the town hall

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Question 642221: A map of a town is drawn on a coordinate grid. The high school is found at point (3,1) and the town hall is found at (-5,7). if the high school is at midpoint between the town hall and the town library, at which ordered pair should you find the library?
Answer by nerdybill(7384) About Me  (Show Source):
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A map of a town is drawn on a coordinate grid. The high school is found at point (3,1) and the town hall is found at (-5,7). if the high school is at midpoint between the town hall and the town library, at which ordered pair should you find the library?
midpoint formula given two points (x1,y1) AND (x2,y2)
((x1+x2)/2 , (y1+y2)/2))
.
(3,1) = ((x-5)/2 , (y+7)/2)
.
solving for x:
3 = (x-5)/2
6 = (x-5)
11 = x
.
1 = (y+7)/2
2 = (y+7)
-5 = y
.
answer:(11,-5)