document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119234>Question 1119234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) find the equation of the line through the points A (0,4) and B (3,2)<BR>\n" );
document.write( "B) find l, the equation of the line through B and is perpendicular to AB<BR>\n" );
document.write( "C) the line l intersects the y axis at C. Find the area of triangle ABC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734698 by </B><A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><B>AnlytcPhil(1806)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><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=AnlytcPhil><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) find the equation of the line through the points A (0,4) and B (3,2)<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Here's the picture:\r\n" );
document.write( "\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-7%2C7%29%2C+line%28-9%2C10%2C9%2C-2%29%2Ccircle%280%2C4%2C.1%29%2C+circle%283%2C2%2C.1%29%2C%0D%0Alocate%28.3%2C4.3%2C%22A%280%2C4%29%22%29%2C+locate%283.3%2C2.3%2C%22B%283%2C2%29%22%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%2811%2C1%2C%0D%0Am=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%2C%0D%0Am=%282-4%29%2F%283-0%29%2C%0D%0Am=%28-2%29%2F3%2C%0D%0Am=-2%2F3%2C%0D%0Ay-y%5B1%5D=m%2A%28x-x%5B1%5D%29%2C%0D%0Ay-4=expr%28-2%2F3%29%28x-0%29%2C%0D%0Ay-4=expr%28-2%2F3%29x%2C%0D%0Ay=expr%28-2%2F3%29x%2B4%2C%0D%0AOR%2C%0D%0A3y=-2x%2B12%2C%0D%0A2x%2B3y=12%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "B) find l, the equation of the line through B and is perpendicular to AB<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%2812%2C1%2C%0D%0Am=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%2C%0D%0Am=3%2F2%2C%0D%0Ay-y%5B1%5D=m%2A%28x-x%5B1%5D%29%2C%0D%0Ay-2=expr%283%2F2%29%2A%28x-3%29%2C%0D%0Ay-2=expr%283%2F2%29%2Ax-9%2F2%2C%0D%0Ay=expr%283%2F2%29x-9%2F2%2B2%2C%0D%0Ay=expr%283%2F2%29x-9%2F2%2B4%2F2%2C%0D%0Ay=expr%283%2F2%29x-5%2F2%2C%0D%0AOR%2C%0D%0A2y=3x-5%2C%0D%0A-3x%2B2y=-5%2C%0D%0A3x-2y=5%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "Here's the picture:\r\n" );
document.write( "\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-7%2C7%29%2C+line%28-9%2C10%2C9%2C-2%29%2Ccircle%280%2C4%2C.1%29%2C+circle%283%2C2%2C.1%29%2C+line%28-7%2C-13%2C7%2C8%29%2C%0D%0Alocate%28.3%2C4.3%2C%22A%280%2C4%29%22%29%2C+locate%283.3%2C2.3%2C%22B%283%2C2%29%22%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "C) the line l intersects the y axis at C. <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Find the coordinates of C by setting x = 0 in line 1\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C5%2C%0D%0A3x-2y=5%2C%0D%0A3%280%29-2y=5%2C%0D%0A0-2y=5%2C%0D%0A-2y=5%2C%0D%0Ay=-5%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r\n" );
document.write( "So the point is C(0,-5/2)\r\n" );
document.write( "\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-7%2C7%29%2C+line%28-9%2C10%2C9%2C-2%29%2Ccircle%280%2C4%2C.1%29%2C+circle%283%2C2%2C.1%29%2C+circle%280%2C-5%2F2%2C.1%29%2C%0D%0Alocate%280.3%2C-5%2F2%2B.3%2C%22C%280%2C-5%2F2%29%22%29%2C%0D%0A%0D%0Aline%28-7%2C-13%2C7%2C8%29%2C%0D%0Alocate%28.3%2C4.3%2C%22A%280%2C4%29%22%29%2C+locate%283.3%2C2.3%2C%22B%283%2C2%29%22%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "Find the area of triangle ABC:<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "It's the absolute value of this determinant:\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=expr%281%2F2%29abs%28matrix%283%2C3%2C0%2C4%2C1%2C3%2C2%2C1%2C0%2C-5%2F2%2C1%29%29=expr%281%2F2%29abs%28-39%2F2%29=39%2F4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "\r\n" );
document.write( "Edwin</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );