Posted by Princess Mae Campana on Tuesday, January 29, 2013 at 9:56pm.
The (x,y) is equidistant from (0,0) and (4,2). Find its algebraic equation.

analytic geometry  Reiny, Tuesday, January 29, 2013 at 11:26pm
must be on the right bisector of the line joining (0,0) and 4,2)
slope of that line is (20)/(40) = 1/2
so the slope of the rightbisector must be +2
and we can start by saying the equation of the rightbisector must be
y = 2x + b
but we also know that the mid point of our line segment must lie on this
midpoint = ((4+0)/2 , (2+0)/2 ) = (2, 1)
so in y = mx + b
1 = 3(2) + b
b = 7
y = 2x  7
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