SOLUTION: find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.

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Question 1045544: find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.
Found 3 solutions by ikleyn, Boreal, ewatrrr:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.
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(5,1), (3, 0.5), (1,0), (-1,-0.5), (-3,-1)
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(5,1) and (-3,-1)
There are 8 units difference for x and 2 for y.
Each quarter is 2 units x and 1/2 unit y apart. They both go down from the first ordered pair or up from the second.
(3,0.5),(1,0)(-1,-0.5) are the intermediate points.
y=(1/4)x-(1/4)
graph%28300%2C300%2C-3%2C5%2C-3%2C3%2C%28x%2F4%29-%281%2F4%29%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Midpoint Pt(x,y): ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)
(5 1) and
(-3 -1) halfway is (5+(-3))/2 and (1+ (-1))/2 Or C(1,0)
(5,1)
(1,0) halfway to center is(5+1)/2 and (1+0)/2 Or P(3,.5)
-3,-1) is
(1,0) halfway to center is (-3+1)/2 and (-1 + 0)/2 Or P(-1,-.5)