document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947058>Question 947058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what point on the line y=3x-1 is closest to the origin R^2 (0,0)? what is the distance from this point to the origin? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577758 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=577758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what point on the line y=3x-1 is closest to the origin R^2 (0,0)? what is the distance from this point to the origin<BR>\n" );
document.write( "***<BR>\n" );
document.write( "y=3x-1<BR>\n" );
document.write( "slope=3<BR>\n" );
document.write( "from the point on the given line, draw a perpendicular line terminating at the origin<BR>\n" );
document.write( "this perpendicular line has a slope=-1/3(negative reciprocal)<BR>\n" );
document.write( "its equation: y=-x/3<BR>\n" );
document.write( "equate given line and perpendicular line:<BR>\n" );
document.write( "3x-1=-x/3<BR>\n" );
document.write( "9x-3=-x<BR>\n" );
document.write( "10x=3<BR>\n" );
document.write( "x=3/10=0.3<BR>\n" );
document.write( "y=-x/3=-0.3/3=-0.1<BR>\n" );
document.write( "point on the given line: (0.3,-0.1)<BR>\n" );
document.write( "distance from point to origin: &#8730;(.3^2+.1^2)=&#8730;.09+.01=&#8730;.10&#8776;.316 </SPAN>\n" );
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