document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775724>Question 775724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all points on the y-axis (that is, having coordinates (0,y), where y is to be determined) that are 6 units distant from the point (4, -3). Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473101 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Shortest distance to the y axis is what is helpful.  No change in y value, from y=-3.  You would form a triangle.  One point is the given point (4, -3).  Another point is (0, -3) which is the distance TO the y axis.  The last point is ON the y axis but 6 units from (4, -3).  You just need the Distance Formula.\r<BR>\n" );
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document.write( "In fact, you might try this with just Pythagorean Theorem, and then avoid formal use of Distance formula.  You have two lengths.  One is 6 units, the other is 3 units.  Size of the other leg?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2B3%5E2=6%5E2 ALIGN=MIDDLE  ALT=\"L%5E2%2B3%5E2=6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since the hypotenuse is 6 units.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2=36-9 ALIGN=MIDDLE  ALT=\"L%5E2=36-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2=25 ALIGN=MIDDLE  ALT=\"L%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=5 ALIGN=MIDDLE  ALT=\"L=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > units long, but really, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%2B5 ALIGN=MIDDLE  ALT=\"L=%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=-5 ALIGN=MIDDLE  ALT=\"L=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Up 5 units from -3 is -3+5=2.<BR>\n" );
document.write( "Down 5 units from -3 is -3-5=-8.\r<BR>\n" );
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document.write( "The answer for the point is then either or both of (0,2) or (0,-8). </SPAN>\n" );
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