SOLUTION: Find the point (o,b) on the y-axis on the y-axis that is equidistant from the points (1,1) and (2,-1)

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the point (o,b) on the y-axis on the y-axis that is equidistant from the points (1,1) and (2,-1)      Log On


   

Question 404086: Find the point (o,b) on the y-axis on the y-axis that is equidistant from the points (1,1) and (2,-1)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%281-0%29%5E2+%2B+%281-b%29%5E2+=+%282-0%29%5E2+%2B+%28-1-b%29%5E2
==> 1+%2B+1-2b+%2B+b%5E2+=+4+%2B+1+%2B+2b+%2B+b%5E2
<==> 2+-+2b+%2B+b%5E2+=+5+%2B+2b+%2B+b%5E2
<==> -3+=+4b ==> b+=+-3%2F4.