M is the midpoint of segment AB. Find the coordinates of B given A(2,1) and M(5,-2).
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OpenStudy (anonymous):
OpenStudy (anonymous):
posted a file
OpenStudy (anonymous):
D
OpenStudy (anonymous):
?
OpenStudy (anonymous):
\[(\frac{ x_2+x_1 }{ 2 },\frac{ y_2+y_1 }{ 2 })\]
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OpenStudy (anonymous):
Here is the trick to this problem. That equation finds the midpoint which you know
OpenStudy (anonymous):
2 one
OpenStudy (anonymous):
2 anwers right
OpenStudy (anonymous):
so use the x value and set it equal to the x equation given above substituting in the other known x value. do the same for y. When you solve you will get your answer
OpenStudy (anonymous):
@ChmE
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OpenStudy (anonymous):
2nd answer right ?
OpenStudy (anonymous):
what is your answer, sry?
OpenStudy (anonymous):
(3.5), -0.5
OpenStudy (anonymous):
I didnt get that
OpenStudy (anonymous):
5 = (2 + x)/2 = x value
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OpenStudy (anonymous):
-2 = (1 + x)/2 = y value
OpenStudy (anonymous):
multiply both sides by 2 first
OpenStudy (anonymous):
from 2 to 5 is 3 units right. another 3 takes you to 8
from 1 to -2 is down 3, down another 3 takes you to -5
OpenStudy (anonymous):
so it is \((8,-5)\) picture is misleading because the line in the picture is horizontal, but your line is not