document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064783>Question 1064783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the point which is 7/10 of the way from the point (4,5) to the point (-6,10). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679865 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=679865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance between the given points:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%284-%28-6%29%29%5E2%2B%285-10%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%284-%28-6%29%29%5E2%2B%285-10%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%28125%29 ALIGN=MIDDLE  ALT=\"sqrt%28125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Equation of the line containing the two given points:<BR>\n" );
document.write( "slope  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28-10%29 ALIGN=MIDDLE  ALT=\"5%2F%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=-%281%2F2%29%28x-4%29 ALIGN=MIDDLE  ALT=\"y-5=-%281%2F2%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=-x%2F2%2B2 ALIGN=MIDDLE  ALT=\"y-5=-x%2F2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F2%2B7 ALIGN=MIDDLE  ALT=\"y=-x%2F2%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, same as variable point  (x, -x/2+7).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Point (x,y), 7/10 of the way from the point (4,5) to the point (-6,10):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-4%29%5E2%2B%28-x%2F2%2B7-5%29%5E2%29=%287%2F10%29%2Asqrt%28%28-6-4%29%5E2%2B%2810-5%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2B%28-x%2F2%2B2%29%5E2=%2849%2F100%29%2A125 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2B%28-x%2F2%2B2%29%5E2=%2849%2F100%29%2A125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-4%29%5E2%2B%284-x%29%5E2=245 ALIGN=MIDDLE  ALT=\"4%28x-4%29%5E2%2B%284-x%29%5E2=245\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-8x-33%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-8x-33%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-11%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-11%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----one of these factors will work and one of them will not.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Coordinates wanted:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=-3%2Cy=8%261%2F2%29 ALIGN=MIDDLE  ALT=\"system%28x=-3%2Cy=8%261%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );