document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142686>Question 1142686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the point P such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AP%2FAB+=r ALIGN=MIDDLE  ALT=\"AP%2FAB+=r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = (4,-2), B=(-2,-5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+2%2F3 ALIGN=MIDDLE  ALT=\"r+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I get (0,-4).  Thank you. </SPAN>\n" );
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document.write( "You want P to be 2/3 of the way from A to B.<br><BR>\n" );
document.write( "When that is true, the x coefficient of P will be 2/3 of the way from the x coefficient of A to the x coefficient of B, and likewise for the y coefficient of P.<br><BR>\n" );
document.write( "The x coefficients of A and B are 4 and -2, a difference of -6; 2/3 of -6 is -4; the x coefficient of P is 4+(-4) = 0.<br><BR>\n" );
document.write( "The y coefficients of A and B are -2 and -5, a difference of -3; 2/3 of -3 is -2; the y coefficient of P is -2+(-2) = -4.<br><BR>\n" );
document.write( "The point P is P(0,-4).<br><BR>\n" );
document.write( "Your answer is correct.<br><BR>\n" );
document.write( "However, if you used a method from a textbook or some similar resource which uses some sort of mathematical formulas, chances are the work you did to get the answer was more than what I did with my informal common sense approach.... </SPAN>\n" );
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