document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354706>Question 354706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the point on the line y=4x+1 closest to (2,0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253439 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's on the line thru the point (2,0) that's perpendicular to the line y = 4x+1<BR>\n" );
document.write( "Slope = -1/4 thru (2,0)<BR>\n" );
document.write( "Use y = mx + b and the point to find b<BR>\n" );
document.write( "0 = (-1/4)*2 + b<BR>\n" );
document.write( "b = 1/2<BR>\n" );
document.write( "--> y = (-1/4)x + 1/2<BR>\n" );
document.write( "It's the intersection of those two lines.<BR>\n" );
document.write( "4x+1 = -x/4 + 1/2<BR>\n" );
document.write( "16x+4 = -x + 2<BR>\n" );
document.write( "17x = -2<BR>\n" );
document.write( "x = -2/17, y = 9/17<BR>\n" );
document.write( "(-2/17,9/17) </SPAN>\n" );
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