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anonymous
 5 years ago
If M (6,8) is the midpoint of line segment AB, and if A has coordinates (2,3) , find the coordinates of B.
anonymous
 5 years ago
If M (6,8) is the midpoint of line segment AB, and if A has coordinates (2,3) , find the coordinates of B.

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sasogeek
 5 years ago
Best ResponseYou've already chosen the best response.0i did a similar work today in class... lemme see if i can solve it

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0Have you tried sketching this out on a piece of graph paper? That is probably the easiest way to solve it. If you know (6,8) is the midpoint, and (2,3) is one of the endpoints, then it should be a matter of just plotting those two, and finding the other endpoint. :)

sasogeek
 5 years ago
Best ResponseYou've already chosen the best response.0I believe its related to vectors...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks! and i have never heard of a vector, but thanks anyway

sasogeek
 5 years ago
Best ResponseYou've already chosen the best response.0cordinates of B(x,y)=(10,13)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Graphing is one way to do the problem. But sometimes, graphing it is hard to do. So here’s an algebraic method. If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2), then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2. In other words, the xcoordinate of the midpoint is the average of the xcoordinates of the two points, and the ycoordinate of the midpoint is the average of the ycoordinates of the two points. Let B have coordinates (x2, y2) in our problem. Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2. Solving for the coordinates gives x2 = 10, y2 = 13.

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0Excellent answer, Verify. This method works for all points, even very large ones which may be difficult or impossible to graph on a piece of paper. Example: find endpoint A if midpoint M(232, 42) and point B(100,34). I recommend trying BOTH methods for the original problem given by Loverslane  graph it, and then verify your graph with the formula. Now try solving the problem I gave in the example. Graphing will not work, but the formula will! :)

sasogeek
 5 years ago
Best ResponseYou've already chosen the best response.0I answered that using the vector method but yh, that's other way to solve it though :) i guess it run down to the same answer. I wouldn't bother to explain the vector method since you're not familiar with vectors
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