document.write( "Question 1174279: Find the coordinates of P such that P is a point on AB, A(0,6), B(6,0), AP:AB=2:1 \r
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Algebra.Com's Answer #799692 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Work with the x and y coordinates separately, separating each of the differences into two parts in the ratio 2:1.

\n" ); document.write( "x: A to B is a change of +6, from 0 to 6; divide it into +4 and +2. The x coordinate of P is 0+4 = 4.

\n" ); document.write( "y: A to B is a change of -6, from 6 to 0; divide it into -4 and -2. The y coordinate of P is 6+(-4) = 2.

\n" ); document.write( "ANSWER: P(4,2)

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\n" ); document.write( "Instead of solving the problem using ratios, here is a different way to look at solving the problem, using fractions.

\n" ); document.write( "The x coordinate of P is 2/3 of the way from A to B -- that is, 2/3 of the way from 0 to 6. A to B is a change of 6; 2/3 of 6 is 4; the x coordinate of P is 0+4 = 4.

\n" ); document.write( "The y coordinate of P is 2/3 of the way from A to B -- that is, 2/3 of the way from 6 to 0. A to B is a change of -6; 2/3 of -6 is -4; the y coordinate of P is6+(-4) = 2.

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