document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366438>Question 366438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of a line that is perpendicular to the line y = 3x + 9 and containing the point (6, –4)?\r<BR>\n" );
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document.write( "What is the equation of a line that is parallel to the line y=1/2x+7 equation and containing the point (–4, 7)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261127 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the equation of a line that is perpendicular to the line y = 3x + 9 and containing the point (6, –4)?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=3x+9<BR>\n" );
document.write( "slope = 3<BR>\n" );
document.write( "slope of line perpendicular to this line will be negative reciprocal<BR>\n" );
document.write( "= -1/3<BR>\n" );
document.write( "Point(6,-4)<BR>\n" );
document.write( "equation of line passing through point (x1,y1) <BR>\n" );
document.write( "=(y-y1)=m(x-x1)<BR>\n" );
document.write( "=(y-(-4)=-1/3(x-6)<BR>\n" );
document.write( "=y+4 = -x/3+2<BR>\n" );
document.write( "y=-1/3*x -4+2<BR>\n" );
document.write( "y= -1/3 *x -2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The graph will be as below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%283x%2B9%29%2C%28%28-x%2F3%29-2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%283x%2B9%29%2C%28%28-x%2F3%29-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "What is the equation of a line that is parallel to the line y=1/2x+7 equation and containing the point (–4, 7)? <BR>\n" );
document.write( "..<BR>\n" );
document.write( "y= 1/2 x +7<BR>\n" );
document.write( "slope = 1/2<BR>\n" );
document.write( "since line required is parallel slope will be same = 1/2<BR>\n" );
document.write( "Point ( -4,7)<BR>\n" );
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document.write( "y-y1=m(x-x1)<BR>\n" );
document.write( "y-7=1/2(x+4)<BR>\n" );
document.write( "y-7= x/2 +2<BR>\n" );
document.write( "y=x/2 +9<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C2%2C-2%2C10%2C%28%28x%2F2%29%2B7%29%2C%28%28x%2F2%29%2B9%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C2%2C-2%2C10%2C%28%28x%2F2%29%2B7%29%2C%28%28x%2F2%29%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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