document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046324>Question 1046324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The coordinates of points A and C are (0, -3) and (3, 3), respectively. If point B lies on line AC between points A and C, and if AB = 2BC, which of the following represents the coordinates of point B?\r<BR>\n" );
document.write( "\n" );
document.write( "Answer is (2, 1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661830 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=661830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B is some point, (x,y).  From there, use the DISTANCE FORMULA, and the equation of a LINE containing two given points.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=2BC ALIGN=MIDDLE  ALT=\"AB=2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-0%29%5E2%2B%28y-%28-3%29%29%5E2%29=2%2Asqrt%28%28x-3%29%5E2%2B%28y-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-0%29%5E2%2B%28y-%28-3%29%29%5E2%29=2%2Asqrt%28%28x-3%29%5E2%2B%28y-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B%28y%2B3%29%5E2%29=2%2Asqrt%28%28x-3%29%5E2%2B%28y-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B%28y%2B3%29%5E2%29=2%2Asqrt%28%28x-3%29%5E2%2B%28y-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y%2B3%29%5E2=4%28%28x-3%29%5E2%2B%28y-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y%2B3%29%5E2=4%28%28x-3%29%5E2%2B%28y-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "-\r<BR>\n" );
document.write( "\n" );
document.write( "Maybe using the equation of the line would be more convenient before carrying all those multiplications from that previous equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx-3 ALIGN=MIDDLE  ALT=\"y=mx-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%283-%28-3%29%29%2F%283-0%29 ALIGN=MIDDLE  ALT=\"m=%283-%28-3%29%29%2F%283-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=6%2F3 ALIGN=MIDDLE  ALT=\"m=6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2 ALIGN=MIDDLE  ALT=\"m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-3 ALIGN=MIDDLE  ALT=\"y=2x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------Substitute for y in the equation which came from Distance Formula result.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%282x-3%2B3%29%5E2=4%28%28x-3%29%5E2%2B%282x-3-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B%282x-3%2B3%29%5E2=4%28%28x-3%29%5E2%2B%282x-3-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%282x%29%5E2=4%28%28x-3%29%5E2%2B%282x-6%29%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B%282x%29%5E2=4%28%28x-3%29%5E2%2B%282x-6%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2=4%28%28x-3%29%5E2%2B2%5E2%28x-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"5x%5E2=4%28%28x-3%29%5E2%2B2%5E2%28x-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----see carefully how there is a factor of x-3 distributed in the right member.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2=4%28x-3%29%5E2%281%2B4%29 ALIGN=MIDDLE  ALT=\"5x%5E2=4%28x-3%29%5E2%281%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2=4%2A5%2A%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2=4%2A5%2A%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >------common factor 5 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=4%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4%28x%5E2-6x%2B9%29 ALIGN=MIDDLE  ALT=\"x%5E2=4%28x%5E2-6x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4x%5E2-24x%2B36 ALIGN=MIDDLE  ALT=\"x%5E2=4x%5E2-24x%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-24x%2B36=0 ALIGN=MIDDLE  ALT=\"3x%5E2-24x%2B36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B12=0 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-6%29%28x-2%29=0%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-6%29%28x-2%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%28x=6%2Cor%2Cx=2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28system%28x=6%2Cor%2Cx=2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------------------------------evaluate the corresponding y values.  Use the linear equation for this.  Choose the combination, or point which is BETWEEN points A and C.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-<BR>\n" );
document.write( "How to know that the line containing points A and C has y-intercept of -3?<BR>\n" );
document.write( "The problem description clearly says so.  This was given as point A. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );