document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252762>Question 252762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is my question:<BR>\n" );
document.write( "My triangle points are A(2,5), B(12,-1) and C(-6,8).<BR>\n" );
document.write( "What is the slope of the perpendicular bisector of AB? What is the slope of CL if CL is the altitude from point C?\r<BR>\n" );
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document.write( "I have been working on this for a while and appreciate any help with explanation.<BR>\n" );
document.write( "Thanks.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184903 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=184903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My triangle points are A(2,5), B(12,-1) and C(-6,8).<BR>\n" );
document.write( "What is the slope of the perpendicular bisector of AB? What is the slope of CL if CL is the altitude from point C? <BR>\n" );
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document.write( "Find the slope of AB.<BR>\n" );
document.write( "m = diffy/diffx = (-1-5)/(12-2) = -6/10<BR>\n" );
document.write( "m = -3/5 (slope of AB)<BR>\n" );
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document.write( "The slope of lines perpendicular is the negative inverse, 5/3<BR>\n" );
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document.write( "For the midpoint of AB, get the average of x and y separately.<BR>\n" );
document.write( "x: (2+12)/2 = 7<BR>\n" );
document.write( "y: (5-1)/2 = 2<BR>\n" );
document.write( "--> M(7,2) is the midpoint<BR>\n" );
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document.write( "Now, find a line thru M with slope 5/3<BR>\n" );
document.write( "Use y = mx + b to find b<BR>\n" );
document.write( "2 = (5/3)*7 + b = 35/3 + b<BR>\n" );
document.write( "b = -29/3<BR>\n" );
document.write( "So the equation is:<BR>\n" );
document.write( "y = (5/3)x - 29/3<BR>\n" );
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document.write( "What is the slope of CL if CL is the altitude from point C? <BR>\n" );
document.write( "The altitude is also perpendicular, so its slope is 5/3, and it's thru the point C (-6,8).<BR>\n" );
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document.write( "Now, find a line thru C with slope 5/3<BR>\n" );
document.write( "Use y = mx + b to find b<BR>\n" );
document.write( "8 = (5/3)*(-6) + b = -10 + b<BR>\n" );
document.write( "b = 18<BR>\n" );
document.write( "So the equation is:<BR>\n" );
document.write( "y = (5/3)x + 18<BR>\n" );
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