Question 1142686
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You want P to be 2/3 of the way from A to B.<br>
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>
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>
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>
The point P is P(0,-4).<br>
Your answer is correct.<br>
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....