document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230539>Question 230539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> plz help me to solve this question.....\r<BR>\n" );
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document.write( "Q.  Three points have coordintes A(4,13), B(9,3) and  C(10,8).Find the equation of<BR>\n" );
document.write( "(a) the line AB<BR>\n" );
document.write( "(b) the line through C perpendicular to the line y-4x=5.<BR>\n" );
document.write( "     the line through C meets the line AB at point P.Calculate the coordinates of P<BR>\n" );
document.write( "     and the ratio AP:PB<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170731 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three points have coordintes A(4,13), B(9,3) and C(10,8).<BR>\n" );
document.write( "Find the equation of<BR>\n" );
document.write( "(a) the line AB<BR>\n" );
document.write( "Find the slope, m<BR>\n" );
document.write( "m = diffy/diffx = 10/-5<BR>\n" );
document.write( "m = -2<BR>\n" );
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document.write( "Use either point to find b, then the eqn<BR>\n" );
document.write( "y = mx+b to find b <BR>\n" );
document.write( "13 = -2*4 + b<BR>\n" );
document.write( "b = 21<BR>\n" );
document.write( "y = -2x + 21 (Eqn of AB)<BR>\n" );
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document.write( "(b) the line through C perpendicular to the line y-4x=5.<BR>\n" );
document.write( "y = 4x+5<BR>\n" );
document.write( "m = -1/4 (slope perpendicular to m=4)<BR>\n" );
document.write( "8 = -1/4*10 + b<BR>\n" );
document.write( "b = 10.5<BR>\n" );
document.write( "y = -(1/4)x + 10.5<BR>\n" );
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document.write( "the line through C meets the line AB at point P.<BR>\n" );
document.write( "Calculate the coordinates of P<BR>\n" );
document.write( "y = -2x+21 = -x/4 + 10.5<BR>\n" );
document.write( "1.75x = 10.5<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "y = -12 + 21 = 9<BR>\n" );
document.write( "P(6,9)<BR>\n" );
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document.write( "and the ratio AP:PB<BR>\n" );
document.write( "Since it's a straight, use the x values to get the ratio<BR>\n" );
document.write( "A - 4<BR>\n" );
document.write( "P - 6<BR>\n" );
document.write( "B - 9<BR>\n" );
document.write( "AP = 2<BR>\n" );
document.write( "PB = 3<BR>\n" );
document.write( "AP:PB = 2:3\r<BR>\n" );
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