document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075041>Question 1075041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The point P divides the interval joining points A(-1,7) and B(4,2) in the ratio K:L. Write down the co-ordinates of point P in terms of K,L. Hence, find the ratio in which the line y=2x+3 divides the interval joining A(-1,7) and B(4,2)\r<BR>\n" );
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document.write( "I figured out the first part of the question, but I'm not sure how to do the second part. Any help is appreciated!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689735 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=689735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line for AB will be found as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B6 ALIGN=MIDDLE  ALT=\"y=-x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if this intersects at P with the given line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B3 ALIGN=MIDDLE  ALT=\"y=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this point P will be found to be  P (1,5).\r<BR>\n" );
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document.write( "Looking at x-component<BR>\n" );
document.write( "K is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%281-%28-1%29%29=2 ALIGN=MIDDLE  ALT=\"abs%281-%28-1%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%284-1%29=3 ALIGN=MIDDLE  ALT=\"abs%284-1%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Looking at y-component<BR>\n" );
document.write( "K is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%285-7%29=2 ALIGN=MIDDLE  ALT=\"abs%285-7%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282-5%29=3 ALIGN=MIDDLE  ALT=\"abs%282-5%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The ratio K:L seems to be 2:3. </SPAN>\n" );
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