document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122496>Question 1122496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points B, O and Y are collinear on BY, and BO:OY =5/8.<BR>\n" );
document.write( "B is located at (4,2)<BR>\n" );
document.write( "O is located at (57/8, -3), and Y is located at (x,y).<BR>\n" );
document.write( "Determine the values of x and y.<BR>\n" );
document.write( "Set up the equation below to provide of how you determined the values of x and y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837163 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Find the x and y coordinates of Y separately, using the coordinates of B and O and the given ratio.<br><BR>\n" );
document.write( "The difference between the x coordinates of B and O is 57/8-4 = 57/8-32/8 = 25/8. Since the given ratio is 5:8, the difference between the x coordinates of O and Y is (8/5)*(25/8) = 5; so the x coordinate of Y is 57/8+5 = 57/8+40/8 = 97/8.<br><BR>\n" );
document.write( "The difference between the y coordinates of B and O is -3-2 = -5. Since the given ratio is 5:8, the difference between the y coordinates of O and Y is (8/5)*(-5) = -8; so the y coordinate of Y is -3-8 = -11.<br><BR>\n" );
document.write( "ANSWER: Y is (x,y) = (97/8,-11)<br><BR>\n" );
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