document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984510>Question 984510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line (in slope-intercept form) of the line that is perpendicular to 3y= 7x - 4 and goes through (7,2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605289 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=605289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first thing you need to know is that the slopes of perpendicular lines are negative reciprocals. Let's find the slope of the given line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=+7x+-+4+ ALIGN=MIDDLE  ALT=\"3y=+7x+-+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+=+%287%2F3%29x+-+4%2F3 ALIGN=MIDDLE  ALT=\"y+=+%287%2F3%29x+-+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "The above equation is in the slope intercept form, so its slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The negative reciprocal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F7 ALIGN=MIDDLE  ALT=\"-3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "That is the slope of the line you are asked to find. So our equation is in the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3%2F7%29x++%2B+B ALIGN=MIDDLE  ALT=\"y+=+%28-3%2F7%29x++%2B+B\"   DISABLED_style= \"max-width:90%; height:auto;\" >  where B is the intercept\r<BR>\n" );
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document.write( "You are told the line includes point (7,2).<BR>\n" );
document.write( "Plug in that point and solve for B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+%28-3%2A7%29%2F7+%2B+B+ ALIGN=MIDDLE  ALT=\"2+=+%28-3%2A7%29%2F7+%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=2+=+-3+%2B+B ALIGN=MIDDLE  ALT=\"2+=+-3+%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=5+=+B ALIGN=MIDDLE  ALT=\"5+=+B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Plug that in and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-3x%2F7+%2B+5 ALIGN=MIDDLE  ALT=\"y+=+-3x%2F7+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );