document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436788>Question 436788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the given line containing the given point and perpendicular to the given line. <BR>\n" );
document.write( "(7,3);4x+7y=9<BR>\n" );
document.write( "express in form y=mx+b\r<BR>\n" );
document.write( "\n" );
document.write( "so y= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302237 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First write the equation of the line in the slope-intercept form:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-4%2F7%29x%2B%289%2F7%29 ALIGN=MIDDLE  ALT=\"y=%28-4%2F7%29x%2B%289%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > the slope of this line is m1=-4/7\r<BR>\n" );
document.write( "\n" );
document.write( "Second we find the slope of the line perpendicular to the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-4%2F7%29x%2B9%2F7 ALIGN=MIDDLE  ALT=\"y=%28-4%2F7%29x%2B9%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "We know perpendicular lines have reciprocal negative slopes: m2=-1/m1, therefore\r<BR>\n" );
document.write( "\n" );
document.write( "m2=7/4. Now we write the equation of the line through the point (7, 3) and \r<BR>\n" );
document.write( "\n" );
document.write( "perpendicular to the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-4%2F7%29x%2B9%2F7 ALIGN=MIDDLE  ALT=\"y=%28-4%2F7%29x%2B9%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=%287%2F4%29%28x-7%29 ALIGN=MIDDLE  ALT=\"y-3=%287%2F4%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, write it in standard form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-3%29=7%28x-7%29 ALIGN=MIDDLE  ALT=\"4%28y-3%29=7%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >} =>\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-4y=37 ALIGN=MIDDLE  ALT=\"7x-4y=37\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );