document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020439>Question 1020439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Im really stuck!<BR>\n" );
document.write( "ABC is an isosceles triangle. The coordinates of A and B are (5,6) and (0,-4) respectively. Given that the gradient of BC is  3/4 and D is the midpoint of BC find:\r<BR>\n" );
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document.write( "Equation of AD\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "Coordinate of D,\r<BR>\n" );
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document.write( "how do i find equation of AD only with 2 points? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636336 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given D is the midpoint of B and C, then points on AD are equidistant from points B and C.  AD is the perpendicular bisector.<BR>\n" );
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document.write( "Given gradient of BC is 3/4, the slope of line BC is 3/4, then<BR>\n" );
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document.write( "y = 3x/4 + b<BR>\n" );
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document.write( ": use point B, (0,-4) to find b<BR>\n" );
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document.write( "-4 = 3(0)/4 + b<BR>\n" );
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document.write( "b = -4<BR>\n" );
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document.write( "The equation of line BC is<BR>\n" );
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document.write( "y = 3x/4 -4<BR>\n" );
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document.write( "since AD is perpendicular to BC, the slope of AD is -4x/3<BR>\n" );
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document.write( "use point A, (5,6) to find b<BR>\n" );
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document.write( "6 = -4(5)/3 + b<BR>\n" );
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document.write( "18 = -20 + 3b<BR>\n" );
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document.write( "3b = 38<BR>\n" );
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document.write( "b = 38/3<BR>\n" );
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document.write( "Equation of AD is<BR>\n" );
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document.write( "y = -4x/3 + 38/3<BR>\n" );
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document.write( "Now set the two lines = to each other to find point D<BR>\n" );
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document.write( "3x/4 -4 = -4x/3 + 38/3<BR>\n" );
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document.write( "9x -48 = -16x + 152<BR>\n" );
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document.write( "25x = 200<BR>\n" );
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document.write( "x = 8<BR>\n" );
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document.write( "substitute for x in equation for BC<BR>\n" );
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document.write( "y = 3(8)/4 -4<BR>\n" );
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document.write( "y = 2<BR>\n" );
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document.write( "point D is (8,2)<BR>\n" );
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