SOLUTION: The point (x,y) is equidistant from (0,0) and (4,-2). Express the fact by an algebraic equation.

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Question 940062: The point (x,y) is equidistant from (0,0) and (4,-2). Express the fact by an algebraic equation.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is the same as, find the equation of the line perpendicular to the one containing (0,0) and (4,-2), and passing through the midpoint of the segment connecting those two given points.

Here is an outline of what you can do:

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Line containing (0,0) and (4,-2)
;
slope is -1%2F2, and intercepts are 0.
y=-x%2F2

Negative reciprocal of that line's slope
m=2

Midpoint of endpoints (0,0) and (4,-2)
(You do this?)

Use point-slope form to find the requested line's equation
(You do this?)
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