document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981640>Question 981640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Point A is located at (0, 4), and point B is located at (&#8722;2, &#8722;3). Find the point that is 1 over 4 the distance from point A to point B.\r<BR>\n" );
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document.write( "A. (&#8722;1, 0.75)<BR>\n" );
document.write( "B. (&#8722;0.75, 2)<BR>\n" );
document.write( "C. (&#8722;0.5, 2.25)<BR>\n" );
document.write( "D. (&#8722;0.25, 3)\r<BR>\n" );
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document.write( "i think its C?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602615 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=602615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) Find equation of the line containing the given points. Put into slope-intercept form.\r<BR>\n" );
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document.write( "(2) Distance formula, to find distance AB.\r<BR>\n" );
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document.write( "(3) Distance formula again, using the unknown point  (x,y) to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of distance from  (0,4).  y will be in terms of x, according to the equation of the line found.  Solve for x, and use it to find corresponding y.  \r<BR>\n" );
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document.write( "That is the plan and description of the process, which YOU can do.\r<BR>\n" );
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document.write( "SOLUTION PROCESS DETAILS\r<BR>\n" );
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document.write( "(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%284-%28-3%29%29%2F%280-%28-2%29%29=7%2F2 ALIGN=MIDDLE  ALT=\"m=%284-%28-3%29%29%2F%280-%28-2%29%29=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-mx ALIGN=MIDDLE  ALT=\"b=y-mx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "pick either point<BR>\n" );
document.write( "----but y intercept already given as one of the points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=%287%2F2%29x%2B4%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=%287%2F2%29x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28%280-%28-2%29%29%5E2%2B%284-%28-3%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28%280-%28-2%29%29%5E2%2B%284-%28-3%29%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%284%2B49%29 ALIGN=MIDDLE  ALT=\"sqrt%284%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%28AB=sqrt%2853%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28AB=sqrt%2853%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(3)<BR>\n" );
document.write( "The general unknown point on the line is  (x,y)  or (x,(7/2)x+4).<BR>\n" );
document.write( "Point A is  (0,4).<BR>\n" );
document.write( "You want (x,y) so that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29sqrt%2853%29=sqrt%28%28x-0%29%5E2%2B%28%28%287%2F2%29x%2B4%29-4%29%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=sqrt%28%28x-0%29%5E2%2B%28%28%287%2F2%29x%2B4%29-4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The steps to simplify that equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29sqrt%2853%29=sqrt%28x%5E2%2B%287x%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=sqrt%28x%5E2%2B%287x%2F2%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=%281%2F4%29sqrt%2853%29=sqrt%28x%5E2%2B49x%5E2%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=sqrt%28x%5E2%2B49x%5E2%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29sqrt%2853%29=x%2Asqrt%281%2B49%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=x%2Asqrt%281%2B49%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29sqrt%2853%29=x%2Asqrt%28%284%2B49%29%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=x%2Asqrt%28%284%2B49%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29sqrt%2853%29=x%2Asqrt%2853%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=x%2Asqrt%2853%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29sqrt%2853%29=x%2A%281%2F2%29sqrt%2853%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29sqrt%2853%29=x%2A%281%2F2%29sqrt%2853%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that x is already isolated in one term and no need to square both sides as <BR>\n" );
document.write( "part of this simplification!....<BR>\n" );
document.write( "because sqrt(x^2) might be positive or negative x;  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%282%2F1%29=0%2B-+x ALIGN=MIDDLE  ALT=\"%281%2F4%29%282%2F1%29=0%2B-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%2B-+1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%2B-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------------one of these will make sense and one will not make sense.<BR>\n" );
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document.write( "What then is the y coordinate?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%287%2F2%29x%2B4 ALIGN=MIDDLE  ALT=\"y=%287%2F2%29x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,...... </SPAN>\n" );
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