document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838152>Question 838152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Point P is located at (&#8722;2, 7) and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504880 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=504880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Slope-Intercept form for a line, y=mx+b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%280-7%29%2F%281-%28-2%29%29=-7%2F3 ALIGN=MIDDLE  ALT=\"m=%280-7%29%2F%281-%28-2%29%29=-7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "b=y-mx, using either point of the line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=7-%28-7%2F3%29%28-2%29=7-14%2F3=%2821-14%29%2F3=7%2F3 ALIGN=MIDDLE  ALT=\"b=7-%28-7%2F3%29%28-2%29=7-14%2F3=%2821-14%29%2F3=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Line equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=-%287%2F3%29x%2B7%2F3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=-%287%2F3%29x%2B7%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find distance from P to R, using Distance Formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PR=sqrt%28%28-2-1%29%5E2%2B%287-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"PR=sqrt%28%28-2-1%29%5E2%2B%287-0%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%28%28-3%29%5E2%2B%287%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-3%29%5E2%2B%287%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%2B49%29 ALIGN=MIDDLE  ALT=\"sqrt%289%2B49%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%28PR=sqrt%2858%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28PR=sqrt%2858%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Any point (x,y) on the line for PR will be in the form, (x,-(7/3)x+7/3), the expression for y being that of the equation's expression for the line.\r<BR>\n" );
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document.write( "You want the point Q(x, -(7/3)x+7/3) so that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28PQ=%282%2F3%29%2Asqrt%2858%29=sqrt%28%28x-%28-2%29%29%5E2%2B%28%28-%287%2F3%29x%2B7%2F3%29-7%29%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify that and solve for x.  Realize, that one value will be good and the other value will need to be rejected. </SPAN>\n" );
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