document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123193>Question 123193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi May I have some help solving this problem?\r<BR>\n" );
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document.write( "Find a point on the y-axis that is equidistant from the points (8, -8) and (2, 2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90432 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a point on the y-axis that is equidistant from the points (8, -8) and (2, 2).<BR>\n" );
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document.write( "Since the point is on the y axis we know the x coordinate = 0<BR>\n" );
document.write( "Call the point: 0,y and solve for y<BR>\n" );
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document.write( "Use the distance formula d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In the distance equation let x1 = 0 and y1 = y<BR>\n" );
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document.write( "dist from points 2,2 to 0,y  =  dist from points 8,-8 to 0,y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282-0%29%5E2%2B%282-y%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282-0%29%5E2%2B%282-y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%288-0%29%5E2%2B%28-8-y%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%288-0%29%5E2%2B%28-8-y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides and we can forget about the radicals<BR>\n" );
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document.write( " 4 + (4 - 4y + y^2) = 64 + (64 + 16y + y^2)<BR>\n" );
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document.write( " 8 - 4y + y^2 = 128 + 16y + y^2<BR>\n" );
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document.write( "Group the y's on the left and numerical values on the right<BR>\n" );
document.write( "y^2 - y^2 - 4y - 16y = 128 - 8<BR>\n" );
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document.write( "Conveniently the y^2 cancel so we have:<BR>\n" );
document.write( "-20y = 120<BR>\n" );
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document.write( "Divide both sides by -20<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F%28-20%29 ALIGN=MIDDLE  ALT=\"120%2F%28-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -6<BR>\n" );
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document.write( "Equidistant point on the y axis = 0,-6<BR>\n" );
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document.write( "Rather than check our solution in the distance equations, I plotted these<BR>\n" );
document.write( "points on piece of graph paper and, it indeed checks out! You can do the same.<BR>\n" );
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document.write( "Hope I made this understandable. Any questions? </SPAN>\n" );
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