ButterflyHope
  • ButterflyHope
URGENT *WILL MEDAL*: Line AB has endpoint A(5,−4) and midpoint M(1,2). Which ordered pair are the coordinates of B? Thanks c:
Mathematics
chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
Let B be the point (x,y)
jim_thompson5910
  • jim_thompson5910
A = (5,-4) B = (x,y) the midpoint of AB is found by adding the corresponding coordinates and dividing by 2 x coordinate of midpoint: (5+x)/2 y coordinate of midpoint: (-4+y)/2
jim_thompson5910
  • jim_thompson5910
so we have these two equations (5+x)/2 = 1 (-4+y)/2 = 2 I'll let you solve

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ButterflyHope
  • ButterflyHope
I still don't know how to solve :/ :(
ButterflyHope
  • ButterflyHope
jim_thompson5910
  • jim_thompson5910
does it help to multiply both sides of (5+x)/2 = 1 by 2 to get (5+x)/2 = 1 2*(5+x)/2 = 2*1 5+x = 2 do you see where to go from here?
ButterflyHope
  • ButterflyHope
So the point is (-3, 8)? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
very good

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