document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117478>Question 1117478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B are the point (3,-1) and (2,3) respectively.l is the line 8y-2x-3=0.Show that (a) l is perpendicular to AB (b) l passes through the midpoint of AB. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732559 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=732559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and B are the points (3,-1) and (2,3) respectively.<BR>\n" );
document.write( "line AB DATA::<BR>\n" );
document.write( "slope  = (3--1)/(2-3) = 4/(-1) = -4<BR>\n" );
document.write( "mid-pt = ((3+2)/2,(3-1)/2) = (5/2,1)<BR>\n" );
document.write( "Equation of AB::<BR>\n" );
document.write( "Form:: y = mx + b<BR>\n" );
document.write( "Using (2,3) and m = -4, solve for \"b\"::<BR>\n" );
document.write( "3 = (-4)2 + b<BR>\n" );
document.write( "b = 11<BR>\n" );
document.write( "Eq. AB:: y = -4x+11 <BR>\n" );
document.write( "======<BR>\n" );
document.write( "(a) L is the line 8y-2x-3=0.<BR>\n" );
document.write( "y = (2x+3)8<BR>\n" );
document.write( "slope = 2/8 = 1/4<BR>\n" );
document.write( "Conclusion:: Since (1/4)(-4) = -1, AB and L are perpendicular<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "(b) Check (5/2,1) in Eq. AB::<BR>\n" );
document.write( "1 = -4(5/2)+11<BR>\n" );
document.write( "1 = -10+11<BR>\n" );
document.write( "1 = 1<BR>\n" );
document.write( "Conclusion:: L does pass thru the midpt of AB.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Show that (a) l is perpendicular to AB (b) l passes through the midpoint of AB.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );