document.write( "Question 940062: The point (x,y) is equidistant from (0,0) and (4,-2). Express the fact by an algebraic equation. \n" ); document.write( "
Algebra.Com's Answer #572859 by josgarithmetic(39618)\"\" \"About 
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.\r
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\n" ); document.write( "\n" ); document.write( "Here is an outline of what you can do:\r
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\n" ); document.write( "\n" ); document.write( "Line containing (0,0) and (4,-2)
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\n" ); document.write( "slope is \"-1%2F2\", and intercepts are 0.
\n" ); document.write( "\"y=-x%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "Negative reciprocal of that line's slope
\n" ); document.write( "\"m=2\"\r
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\n" ); document.write( "\n" ); document.write( "Midpoint of endpoints (0,0) and (4,-2)
\n" ); document.write( "(You do this?)\r
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\n" ); document.write( "\n" ); document.write( "Use point-slope form to find the requested line's equation
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