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

Algebra ->  Algebra  -> Length-and-distance -> 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      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

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(21685) About Me  (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(5891) About Me  (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)