document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=559201>Question 559201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Line two is perpendicular to 3x-12y=24 and passes through the point (2,-5).  Find an equation for line two.  (Use the slope of line two).\r<BR>\n" );
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document.write( "I have worked this problem by finding the slope of 3x-12y=24, which is 1/4.  Also, the perpendicular line (line two)  has a slope of -4.  I am just a little stumped on how to Find an equation that passes through the point (2,-5).  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363325 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ONE WAY<BR>\n" );
document.write( "You could do it by writing the equation of the line in point-slope form, using the coordinates of the point given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=-4%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=-4%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and then you could work with it to transform it into an equivalent expression that looks more elegant, like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=-4%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=-4%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=-4x%2B8 ALIGN=MIDDLE  ALT=\"y%2B5=-4x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B8-5 ALIGN=MIDDLE  ALT=\"y=-4x%2B8-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B3 ALIGN=MIDDLE  ALT=\"y=-4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=-4%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=-4%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=-4x%2B8 ALIGN=MIDDLE  ALT=\"y%2B5=-4x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2By%2B5=8 ALIGN=MIDDLE  ALT=\"4x%2By%2B5=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2By=3 ALIGN=MIDDLE  ALT=\"4x%2By=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ANOTHER WAY<BR>\n" );
document.write( "You could also write the slope-intercept form of a line with slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2Bb ALIGN=MIDDLE  ALT=\"y=-4x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > by substituting the coordinates of the point and solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5=-4%2A2%2Bb ALIGN=MIDDLE  ALT=\"-5=-4%2A2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5=-8%2Bb ALIGN=MIDDLE  ALT=\"-5=-8%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B8=b ALIGN=MIDDLE  ALT=\"-5%2B8=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2B3 ALIGN=MIDDLE  ALT=\"y=-4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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