document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167027>Question 1167027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P is a point (7, 5) and l1 is the line with equation 3x + 4y = 16.<BR>\n" );
document.write( "a) Find the equation of the line l2 which passes through P and is perpendicular to l1.<BR>\n" );
document.write( "b) Find the point of intersection of the lines l1 and l2 and find the perpendicular distance of P from the<BR>\n" );
document.write( "line l1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791601 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A similar problem:<BR>\n" );
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document.write( "P is a point (2,3) and L1 is the line with equation 3x + 2y = 11.<BR>\n" );
document.write( "a) Find the equation of the line L2 which passes through P and is perpendicular to L1.<BR>\n" );
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document.write( "Find the slope, m1, of L1.<BR>\n" );
document.write( "3x + 2y = 11<BR>\n" );
document.write( "Solve for y<BR>\n" );
document.write( "y = (-3/2)x - 11/2<BR>\n" );
document.write( "m1 = -3/2<BR>\n" );
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document.write( "The slope of lines perpendicular to L1 is the negative inverse, m2 = 2/3<BR>\n" );
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document.write( "y-y1 = m2*(x-x1) where (x1,y1) = (2,3)<BR>\n" );
document.write( "y-3 = (2/3)*(x-2)<BR>\n" );
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document.write( "b) Find the point of intersection of the lines L1 and L2<BR>\n" );
document.write( "y-3 = (2/3)*(x-2)<BR>\n" );
document.write( "3y-9 = 2x-4<BR>\n" );
document.write( "2x - 3y = -5<BR>\n" );
document.write( "3x + 2y = 11<BR>\n" );
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document.write( "4x - 6y = -10<BR>\n" );
document.write( "9x + 6y = 33<BR>\n" );
document.write( "--------------------- Add<BR>\n" );
document.write( "13x = 23<BR>\n" );
document.write( "x = 23/13<BR>\n" );
document.write( "y = (2x/3) - 4/3 + 3 = 46/39 - 52/39 + 117/39 = 37/13<BR>\n" );
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document.write( "Intersection is (23/13,37/13)<BR>\n" );
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document.write( " and find the perpendicular distance of P from the<BR>\n" );
document.write( "line L1.<BR>\n" );
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document.write( " </SPAN>\n" );
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