document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935577>Question 935577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a line that is perpendicular to the given line and that passes through the given points. \r<BR>\n" );
document.write( "\n" );
document.write( "y-2 = - 1/4(x+3), (-3,5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568809 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+2+=+%28+-1%2F4+%29%2A%28+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+y+-+2+=+%28+-1%2F4+%29%2A%28+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+2+=+%28+-1%2F4+%29%2Ax+-+3%2F4+ ALIGN=MIDDLE  ALT=\"+y+-+2+=+%28+-1%2F4+%29%2Ax+-+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28+-1%2F4+%29%2Ax+%2B+5%2F4+ ALIGN=MIDDLE  ALT=\"+y+=+%28+-1%2F4+%29%2Ax+%2B+5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also given the point:<BR>\n" );
document.write( "( -3, 5 )<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Any line perpendicular to this line<BR>\n" );
document.write( "will have a slope of:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2Fm+ ALIGN=MIDDLE  ALT=\"+-1%2Fm+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-1%2F4+ ALIGN=MIDDLE  ALT=\"+m+=+-1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2Fm++=+4+ ALIGN=MIDDLE  ALT=\"+-1%2Fm++=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Use the general point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+5+%29+%2F+%28+x+-%28-3%29+%29+=+4+ ALIGN=MIDDLE  ALT=\"+%28+y+-+5+%29+%2F+%28+x+-%28-3%29+%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+5+%29+%2F+%28+x+%2B+3+%29+=+4+ ALIGN=MIDDLE  ALT=\"+%28+y+-+5+%29+%2F+%28+x+%2B+3+%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+5+=+4%2A%28+x+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+y+-+5+=+4%2A%28+x+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+5+=+4x+%2B+12+ ALIGN=MIDDLE  ALT=\"+y+-+5+=+4x+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+4x+%2B+17+ ALIGN=MIDDLE  ALT=\"+y+=+4x+%2B+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "does it go through ( -3,5 ) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+4%2A%28-3%29+%2B+17+ ALIGN=MIDDLE  ALT=\"+5+=+4%2A%28-3%29+%2B+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+-12+%2B+17+ ALIGN=MIDDLE  ALT=\"+5+=+-12+%2B+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+5+ ALIGN=MIDDLE  ALT=\"+5+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Here is a plot of the 2 lines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+4x+%2B+17%2C+%28+-1%2F4+%29%2Ax+%2B+5%2F4+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );