document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=565991>Question 565991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Topic : Co-ordinate Geometry\r<BR>\n" );
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document.write( "(Q) A line passes through the points with co-ordinates (k,2k-3) and (2-k,k-2), \r<BR>\n" );
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document.write( "where k is a constant.\r<BR>\n" );
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document.write( "(a) show that the gradient of the line is 1/2 ?\r<BR>\n" );
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document.write( "(b) find, in terms of k, an equation of the line ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366046 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (k,2k-3) and (2-k,k-2), \r<BR>\n" );
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document.write( "Slope m = (y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28k-2%29-%282k-3%29%29%2F%28%282-k%29-k%29%29 ALIGN=MIDDLE  ALT=\"%28%28k-2%29-%282k-3%29%29%2F%28%282-k%29-k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "m= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-2-2k%2B3%29%2F%282-2k%29 ALIGN=MIDDLE  ALT=\"%28k-2-2k%2B3%29%2F%282-2k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-k%2B1%29%2F%282%281-k%29%29 ALIGN=MIDDLE  ALT=\"%28-k%2B1%29%2F%282%281-k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "m= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281-k%29%29%2F%282%281-k%29%29 ALIGN=MIDDLE  ALT=\"%28%281-k%29%29%2F%282%281-k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "m= 1/2\r<BR>\n" );
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document.write( "slope = 1/2 & point ( (k,(2k-3))\r<BR>\n" );
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document.write( "2k-3= (1/2)*k +b\r<BR>\n" );
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document.write( "2k-3-(1/2)k=b\r<BR>\n" );
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document.write( "multiply equation by 2<BR>\n" );
document.write( "4k-6-k=2b<BR>\n" );
document.write( "(3k-6)=2b<BR>\n" );
document.write( "3(k-2)=2b<BR>\n" );
document.write( "3(k-3)/2 =b\r<BR>\n" );
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document.write( "Frame the equation\r<BR>\n" );
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document.write( "y = (1/2) x +3(k-2)/2<BR>\n" );
document.write( " </SPAN>\n" );
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