Question 1114323: A commetee is choosing a site for a community centre. The centre need to be located the same distance from the two main towns in the country. On a map , these towns have coordinates (2,14) and (16,4). Determine an equation for the line that shows all possible sites for the community centre)
Answer by CubeyThePenguin(3113)   (Show Source):
You can put this solution on YOUR website! We want to find the perpendicular bisector of the line that connects the towns.
(2, 14) and (16, 4)
slope = (4 - 14)/(16 - 2) = -10/14 = -5/7
midpoint = (2 + 16, 14 + 4) = (9, 9)
Perpendicular bisector:
slope = 7/5, passes through (9, 9)
y - 9 = 7/5 * (x - 9)
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