Answer:
A. (-4, 0)
Step-by-step explanation:
One way to do this is ...
(1/3) B + (2/3) A = P . . . . the point of interest.
(1/3)(2, 4) + (2/3)(-7, -2) = (2/3-14/3, -4/3 +4/3)
= (-12/3, 0) = (-4, 0) . . . . matches choice A
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Another way to do this is to find the difference (D) between the points and add 1/3 of that to A.
D = B - A = (2-(-7), 4-(-2)) = (9, 6)
A + 1/3·D = (-7, -2) + 1/3(9, 6) = (-7 +3, -2 +2) = (-4, 0)
