document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490189>Question 490189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP !!! I NEED UR HELP !!<BR>\n" );
document.write( "A straight line with equation 2y=kx+h passes through the points (-3,6) and (1,11). Find the value of k and h. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333911 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+kx+%2B+h+ ALIGN=MIDDLE  ALT=\"+2y+=+kx+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "passes through the points<BR>\n" );
document.write( "(-3,6) and (1,11)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Plug in (x,y) = (-3,6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A6+=+k%2A%28-3%29+%2B+h+ ALIGN=MIDDLE  ALT=\"+2%2A6+=+k%2A%28-3%29+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+-3k+%2B+h+ ALIGN=MIDDLE  ALT=\"+12+=+-3k+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(x,y) = (1,11)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A11+=+k%2A1+%2B+h+ ALIGN=MIDDLE  ALT=\"+2%2A11+=+k%2A1+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+=+k+%2B+h+ ALIGN=MIDDLE  ALT=\"+22+=+k+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Rewrite both equations in reverse order<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+-+3k+=+12+ ALIGN=MIDDLE  ALT=\"+h+-+3k+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+%2B+k+=+22+ ALIGN=MIDDLE  ALT=\"+h+%2B+k+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+%2B+k+=+22+ ALIGN=MIDDLE  ALT=\"+h+%2B+k+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-h+%2B+3k+=+-12+ ALIGN=MIDDLE  ALT=\"+-h+%2B+3k+=+-12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4k+=+10+ ALIGN=MIDDLE  ALT=\"+4k+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+5%2F2+ ALIGN=MIDDLE  ALT=\"+k+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+%2B+k+=+22+ ALIGN=MIDDLE  ALT=\"+h+%2B+k+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+%2B+5%2F2+=+22+ ALIGN=MIDDLE  ALT=\"+h+%2B+5%2F2+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2h+%2B+5+=+44+ ALIGN=MIDDLE  ALT=\"+2h+%2B+5+=+44+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2h+=+39+ ALIGN=MIDDLE  ALT=\"+2h+=+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+39%2F2+ ALIGN=MIDDLE  ALT=\"+h+=+39%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Does the equation pass through the points?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+kx+%2B+h+ ALIGN=MIDDLE  ALT=\"+2y+=+kx+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+%285%2F2%29%2Ax+%2B+39%2F2+ ALIGN=MIDDLE  ALT=\"+2y+=+%285%2F2%29%2Ax+%2B+39%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%285%2F4%29%2Ax+%2B+39%2F4+ ALIGN=MIDDLE  ALT=\"+y+=+%285%2F4%29%2Ax+%2B+39%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(-3,6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+%285%2F4%29%2A%28-3%29+%2B+39%2F4+ ALIGN=MIDDLE  ALT=\"+6+=+%285%2F4%29%2A%28-3%29+%2B+39%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+-15%2F4+%2B39%2F4+ ALIGN=MIDDLE  ALT=\"+6+=+-15%2F4+%2B39%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+24%2F4+ ALIGN=MIDDLE  ALT=\"+6+=+24%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+6+ ALIGN=MIDDLE  ALT=\"+6+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(1,11)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%285%2F4%29%2Ax+%2B+39%2F4+ ALIGN=MIDDLE  ALT=\"+y+=+%285%2F4%29%2Ax+%2B+39%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11+=+%285%2F4%29%2A1+%2B+39%2F4+ ALIGN=MIDDLE  ALT=\"+11+=+%285%2F4%29%2A1+%2B+39%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11+=+44%2F4+ ALIGN=MIDDLE  ALT=\"+11+=+44%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11+=+11+ ALIGN=MIDDLE  ALT=\"+11+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );