SOLUTION: my book says use the given enpoint r and m of rs to find the coordinate of the other endpoint s........so r(-4,-6), m(3,-4) but how do i find the answer to that for my geometry hom

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Question 206984This question is from textbook geometry
: my book says use the given enpoint r and m of rs to find the coordinate of the other endpoint s........so r(-4,-6), m(3,-4) but how do i find the answer to that for my geometry homework??? can u help me prettty please...=). This question is from textbook geometry

Found 2 solutions by jim_thompson5910, scott8148:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Let's make the midpoint of the two points and be the point . In other words, the midpoint is

If we do that, then....

and

So in this case, we know that the midpoint is (3,-4) and we're given one endpoint of (-4,-6). So this means that and

In other words, , , , and

So plug these values into the formulas
and to find the point

I'll let you do that. Let me know if you still need help.

Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
m is the midpoint, so it is halfway between r and s

in the x-direction; m is 7 from r (3 - -4), so s is 7 from m ___ or 10 (3 + 7)

in the y-direction; m is 2 from r (-4 - -6), so s is 2 from m ___ or -2 (-4 + 2)

so s is (10,-2)