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The graph of the line $x+y=b$ intersects the line segment from $(2,5)$ to $(4,9)$ at its midpoint. What is the value of $b$?

 Apr 22, 2018
 #1
avatar+94619 
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Midpoint  of  (2, 5) , (4,9)  =

 

[  (2 + 4) / 2, (5 + 9) / 2 ]  =   ( 3, 7)

 

So......  x  = 3, y  = 7

 

And  x +  y  =   10   =    b

 

 

cool cool cool

 Apr 22, 2018

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