document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56642>Question 56642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of a line passing through (-1,1) and perpendicular to the line whose equation is given by 3x-2y=1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38429 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=38429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of a line passing through (-1,1) and perpendicular to the line whose equation is given by 3x-2y=1.<BR>\n" );
document.write( "First find the slope of the equation by putting it in slope intercept form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (0,b)=y-intercept:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=1 ALIGN=MIDDLE  ALT=\"3x-2y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B3x-2y=-3x%2B1 ALIGN=MIDDLE  ALT=\"-3x%2B3x-2y=-3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=-3x%2B1 ALIGN=MIDDLE  ALT=\"-2y=-3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y%2F-2=-3x%2F-2%2B1%2F-2 ALIGN=MIDDLE  ALT=\"-2y%2F-2=-3x%2F-2%2B1%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F2%29x-1%2F2 ALIGN=MIDDLE  ALT=\"y=%283%2F2%29x-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=highlight%28%283%2F2%29%29x-1%2F2 ALIGN=MIDDLE  ALT=\"y=highlight%28%283%2F2%29%29x-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the slope,m=3/2.<BR>\n" );
document.write( "Perpendicular equations have slopes that are negative reciprocals of each other, so flip the slope over and change its sign.<BR>\n" );
document.write( "We need a line with a slope, m=-2/3 going through the point (x1,y1)=(-1,1).<BR>\n" );
document.write( "We need to use the point slope formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y1=m%28x-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y1=m%28x-x1%29%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-1=%28-2%2F3%29%28x-%28-1%29%29 ALIGN=MIDDLE  ALT=\"y-1=%28-2%2F3%29%28x-%28-1%29%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-1=%28-2%2F3%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y-1=%28-2%2F3%29%28x%2B1%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-1=%28-2%2F3%29x-%282%2F3%29%281%29 ALIGN=MIDDLE  ALT=\"y-1=%28-2%2F3%29x-%282%2F3%29%281%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-1=%28-2%2F3%29x-2%2F3 ALIGN=MIDDLE  ALT=\"y-1=%28-2%2F3%29x-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1%2B1=%28-2%2F3%29x-2%2F3%2B1 ALIGN=MIDDLE  ALT=\"y-1%2B1=%28-2%2F3%29x-2%2F3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2F3%29x-2%2F3%2B3%2F3 ALIGN=MIDDLE  ALT=\"y=%28-2%2F3%29x-2%2F3%2B3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2F3%29x%2B%28-2%2B3%29%2F3 ALIGN=MIDDLE  ALT=\"y=%28-2%2F3%29x%2B%28-2%2B3%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2F3%29x%2B1%2F3 ALIGN=MIDDLE  ALT=\"y=%28-2%2F3%29x%2B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--Slope intercept form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-2x%2B1 ALIGN=MIDDLE  ALT=\"3y=-2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=1 ALIGN=MIDDLE  ALT=\"2x%2B3y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <--Standard form<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );