document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737772>Question 737772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please explain to me: find an equation of the line that has x-intercept (2,0) and is perpendiclar to 4x+3y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450560 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=450560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First realize that ANY line which is perpendicular to thr given<BR>\n" );
document.write( "line will have the same slope, so that is the 1st thing to find.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+%2B+3y+=+6+ ALIGN=MIDDLE  ALT=\"+4x+%2B+3y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the standard form. Put<BR>\n" );
document.write( "it into the slope-intercept form which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be the slope of this line.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+%2B+3y+=+6+ ALIGN=MIDDLE  ALT=\"+4x+%2B+3y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+=+-4x+%2B+6+ ALIGN=MIDDLE  ALT=\"+3y+=+-4x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-4%2F3%29%2Ax+%2B+2+ ALIGN=MIDDLE  ALT=\"+y+=+%28-4%2F3%29%2Ax+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-4%2F3+ ALIGN=MIDDLE  ALT=\"+m+=+-4%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find the slope that is perpendicular to this slope<BR>\n" );
document.write( "The formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5Bp%5D+=+-1+%2F+m+ ALIGN=MIDDLE  ALT=\"+m%5Bp%5D+=+-1+%2F+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5Bp%5D+=+-1+%2F+%28-4%2F3%29+ ALIGN=MIDDLE  ALT=\"+m%5Bp%5D+=+-1+%2F+%28-4%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5Bp%5D+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+m%5Bp%5D+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "So far, you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%283%2F4%29%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F4%29%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You just need to 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;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "You given the point (2,0) also, so just plug this x and y<BR>\n" );
document.write( "into the equation and solve 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=+0+=+%283%2F4%29%2A2+%2B+b+ ALIGN=MIDDLE  ALT=\"+0+=+%283%2F4%29%2A2+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+3%2F2+%2B+b+ ALIGN=MIDDLE  ALT=\"+0+=+3%2F2+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-3%2F2+ ALIGN=MIDDLE  ALT=\"+b+=+-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "The complete equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%283%2F4%29%2Ax+-+3%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F4%29%2Ax+-+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "does it go through (2,0)?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%283%2F4%29%2Ax+-+3%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F4%29%2Ax+-+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%283%2F4%29%2A2+-+3%2F2+ ALIGN=MIDDLE  ALT=\"+0+=+%283%2F4%29%2A2+-+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F4%29%2A2+=+6%2F4+ ALIGN=MIDDLE  ALT=\"+%283%2F4%29%2A2+=+6%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2F4+=+6%2F4+ ALIGN=MIDDLE  ALT=\"+6%2F4+=+6%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Here is the plot of both lines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28-4%2F3%29%2Ax+%2B+2%2C+%283%2F4%29%2Ax+-+3%2F2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );