Question 1174279
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Work with the x and y coordinates separately, separating each of the differences into two parts in the ratio 2:1.<br>
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.<br>
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.<br>
ANSWER: P(4,2)<br>
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Instead of solving the problem using ratios, here is a different way to look at solving the problem, using fractions.<br>
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.<br>
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.<br>