document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118633>Question 1118633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the line x/4 + y/8 = k where k is a positive number.<BR>\n" );
document.write( "A) in terms of k, write down the coordinates of A and B, the points where the line meets the x and y axes respectively <BR>\n" );
document.write( "B) the area of triangle AOB, where O is the origin, is 144 units squared. Find the value(s) of k </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734008 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> multiply everything by 8<BR>\n" );
document.write( "2x+y=8k<BR>\n" );
document.write( "y=-2x+8k<BR>\n" );
document.write( "when y=0 (x-axis), 8k=2x and k=(1/4)x or x=4k<BR>\n" );
document.write( "when x=0 (y-axis) y=8k<BR>\n" );
document.write( "(4k,  0) and (0, 8k)<BR>\n" );
document.write( "When the third point is (0, 0), the base is 4k and the height is 8k<BR>\n" );
document.write( "The area is (1/2)32k^2=144 u^2<BR>\n" );
document.write( "32k^2=288<BR>\n" );
document.write( "k^2=9 and k=3  ANSWER<BR>\n" );
document.write( "y=-2x+24<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C20%2C-10%2C30%2C-2x%2B24%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C20%2C-10%2C30%2C-2x%2B24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );