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Given that M( 1, -6) is the midpoint of {AB} and A(-2, 1) is one endpoint, what is the sum of the coordinates of point B?

 Apr 18, 2019
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Given that M( 1, -6) is the midpoint of {AB} and A(-2, 1) is one endpoint, what is the sum of the coordinates of point B?

 

x coordinate  = [ x - 2 ] / 2  =   1     multiply both sides by 2

 

x - 2  =  2      add 2 to both sides

 

x = 4

 

 

y coordinate  =     [ 1 + y ]  / 2  =   -6      multiply both sides by 2

 

1 +y  =  - 12      subtract 1 from both sides

 

y  =  -13

 

So   B  =  ( 4, -13)

 

 

cool cool cool

 Apr 18, 2019

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