document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204346>Question 1204346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the shortest distance from the point e(1,-4) to the line through points of(-5'2) and g(3,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840538 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation of line the line through points of(-5,2) and g(3,4)<BR>\n" );
document.write( "use formula \r<BR>\n" );
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document.write( "(y-y1)/(y1-y2) = (x-x1)/(x1-x2)<BR>\n" );
document.write( "we get\r<BR>\n" );
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document.write( "2x - 8y + 26 = 0.....................................(1)\r<BR>\n" );
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document.write( "Slope of of line the line through points of(-5,2) and g(3,4)\r<BR>\n" );
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document.write( "(y1-y2)/(x1-x2)  we get m=1/4\r<BR>\n" );
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document.write( "A perpendicular line to fg will have slope -4\r<BR>\n" );
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document.write( "Equation of line the line through point(1,-4) m=-4\r<BR>\n" );
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document.write( "y=-4x\r<BR>\n" );
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document.write( "substitute y in (1)<BR>\n" );
document.write( "solve\r<BR>\n" );
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document.write( "we get\r<BR>\n" );
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document.write( "(-13/17, 52/17)\r<BR>\n" );
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document.write( "Distance between (-13/17, 52/17) and (1,-4)\r<BR>\n" );
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document.write( "7.06 units The perpendicular distance from E to the line\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=distance.png\">.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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