techno67 techno67
  • 25-03-2018
  • Mathematics
contestada

f GH has endpoints G(-8,1) and H(4,5), then the midpoint M of GH lies on the line y=-x+1

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jcherry99
jcherry99 jcherry99
  • 25-03-2018
Find the midpoint.
(x1 + x2)/2, (y1 + y2)/2
x1 = -8
x2 = 4
y1 = 1
y2 = 5

(-8 + 4)/2 = -4/2 = -2
(1 + 5)/2 = 6/2 = 3

The midpoint is (-2,3)
Does this lie on y = - x + 1
y = -(-2) + 1
y = 3 which it does

The midpoint does lie on y = - x + 1 True statement.
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