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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document.write( "F(-3,0), x=3 \n" );
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Algebra.Com's Answer #458330 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "-------- \n" ); document.write( "Every point on the line x = 3 has form (3,y) \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "Let the points equidistant from (-3,0) and (3,y) be (x,y) \n" ); document.write( "------- \n" ); document.write( "distance = distance \n" ); document.write( "(x+3)^2 + y^2 = (x-3)^2 \n" ); document.write( "-------------------------- \n" ); document.write( "x^2 + 6x + 9 + y^2 = x^2 - 6x + 9 \n" ); document.write( "------ \n" ); document.write( "6x + y^2 = -6x \n" ); document.write( "12x = -y^2 \n" ); document.write( "--- \n" ); document.write( "x = (-1/12)y^2 \n" ); document.write( "====================== \n" ); document.write( " |