document.write( "Question 753341: write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line.\r
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Algebra.Com's Answer #458330 by stanbon(75887)\"\" \"About 
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write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line.
\n" ); document.write( "F(-3,0), x=3
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\n" ); document.write( "Every point on the line x = 3 has form (3,y)
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\n" ); document.write( "Equation:
\n" ); document.write( "Let the points equidistant from (-3,0) and (3,y) be (x,y)
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\n" ); document.write( "distance = distance
\n" ); document.write( "(x+3)^2 + y^2 = (x-3)^2
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\n" ); document.write( "x^2 + 6x + 9 + y^2 = x^2 - 6x + 9
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\n" ); document.write( "6x + y^2 = -6x
\n" ); document.write( "12x = -y^2
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\n" ); document.write( "x = (-1/12)y^2
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