document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131018>Question 131018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with the following problem?\r<BR>\n" );
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document.write( "The solutions of line \"a\" are (3,3) and (5,5).<BR>\n" );
document.write( "The solutions of line \"b\" are (3,-3) and (5,-5).\r<BR>\n" );
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document.write( "a.  Form the equations of both the lines.<BR>\n" );
document.write( "b.  What are the co-ordinates of the point of intersection of lines a and b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95644 by </B><A HREF=/tutors/aboutme.mpl?userid=pug912><B>pug912(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pug912><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=95644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for line a, first you need to find out the slope of line a.\r<BR>\n" );
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document.write( "slope of line a = (5-3)/(5-3) = 2/2=1 = m \r<BR>\n" );
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document.write( "use line equation y -y1 = m(x-x1) where (x1,y1) is either your (3,3) or (5,5).\r<BR>\n" );
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document.write( "so the equation of line a is:\r<BR>\n" );
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document.write( "y-3 = 1*(x-3)\r<BR>\n" );
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document.write( "y-3 = x-3\r<BR>\n" );
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document.write( "y = x --> line a\r<BR>\n" );
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document.write( "for line b, first you need to find out the slope of line b.\r<BR>\n" );
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document.write( "slope of line a = (-5+3)/(5-3) = -2/2= -1 = m \r<BR>\n" );
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document.write( "use line equation y -y1 = m(x-x1) where (x1,y1) is either your (3,-3) or (5,-5).\r<BR>\n" );
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document.write( "so the equation of line a is:\r<BR>\n" );
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document.write( "y+3 = -1*(x-3)\r<BR>\n" );
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document.write( "y+3 = -x+3\r<BR>\n" );
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document.write( "y = -x --> line b\r<BR>\n" );
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document.write( "now, to find out the intersection point of these two lines.\r<BR>\n" );
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document.write( "y=x (line a) and y=-x (line b)\r<BR>\n" );
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document.write( "subtitute y=x into equation of line b,\r<BR>\n" );
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document.write( "so we have y = -y , Hence, y=0.\r<BR>\n" );
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document.write( "now subtitude y=0 to equation of line a . we have x=0\r<BR>\n" );
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document.write( "so (0,0) is the intersection point of line a and b. </SPAN>\n" );
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