document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078132>Question 1078132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The point (-3, -4) divides the line joining A(-6, -7) and B in the ratio 1:3. Find the coordinates of B\r<BR>\n" );
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document.write( "please with clear explanation cuz i am slow. thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692603 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at the x point.  A  is -6, and the point is -3.  This is 3 units toward 0.  We keep going 3*3 units in this direction (1:3 ratio) or 9 units. From -3 units towards 0 plus 9 units makes 6 units to the right of 0 (this is the x-value, and we deal left-right with it.  The x-value is 6.<BR>\n" );
document.write( "The y is -7 and it goes to -4, again 3 units.  Again, because it is the same ratio, we add 9 to the y-value of -4 to get +5.  <BR>\n" );
document.write( "The coordinate is (6,5)<BR>\n" );
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document.write( "Can check with the distance formula: sqrt (x1-x2)^2+(y1-y2)^2<BR>\n" );
document.write( "From A to the point: sqrt (-6-(-3))^2+(-7-(-4))^2=sqrt (9+9)=sqrt(18)<BR>\n" );
document.write( "From the point to B: sqrt (-4-5)^2+(-3-6)^2=sqrt (162)<BR>\n" );
document.write( "compare sqrt (18) to sqrt (162)<BR>\n" );
document.write( "the first is sqrt(9*2) or 3 sqrt (2).  The second is sqrt(81*2)=9 sqrt (2)<BR>\n" );
document.write( "That is 1:3 ratio.<BR>\n" );
document.write( "For medians, rather than doing the distance formula and dividing it in two, just take the average of the x and y points.<BR>\n" );
document.write( "For ratio problems like this, deal with each coordinate separately.   </SPAN>\n" );
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