if 9,8 is a endpoint of a segment and 4,12 is the midpoint, find the other endpoint

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if 9,8 is a endpoint of a segment and 4,12 is the midpoint, find the other endpoint

Mathematics
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-1,16
how?
if we know a distance and direction to go this would be eaiser; finish - start = distance and direction we start at a point and end at the mid

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\[(x _{2}-x _{1})/2=4=>9-x _{1}=8=>x _{1}=1\] Do the same for y.
m-e = distance and direction from end to mid m+(m-e) = the rest of the way
m = 4,12 2m = 8,24 e = 9,8 -e = -9, -8 2m = 8, 24 -e = -9, -8 ----------- e = -1,16
Let the coordinates of the first endpoint (x1,y1) and the coordinates of the other be (x2,y2). Then ther coordinates of the midpoint is (x1+x2/2,y1+y2/2)
Nw if we take the coordinates of the other endpoint as (x,y) 9+x/2=4 9+x=8 x=-1 8+y/2=12 8+y=24 y=16
Is that clear nw?
madskills?
awsome, thanks alot!!
yw

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