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Mathematics 19 Online
OpenStudy (anonymous):

M is the midpoint of segment AB. Find the coordinates of B given A(2,1) and M(5,-2).

OpenStudy (anonymous):

OpenStudy (anonymous):

posted a file

OpenStudy (anonymous):

D

OpenStudy (anonymous):

?

OpenStudy (anonymous):

\[(\frac{ x_2+x_1 }{ 2 },\frac{ y_2+y_1 }{ 2 })\]

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

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

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

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