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What are the coordinates of the point that is 1/3 of the way from a to b?

a) (3, 3)
b) (0, −1)
c) (1, 0)
d) Insufficient information provided

1 Answer

2 votes

Final answer:

The question asks for the point 1/3 of the way from point A to B in a coordinate system, but does not provide the coordinates of A and B. Therefore, the answer is d) Insufficient information provided, as the formula to calculate such a point requires the starting and ending coordinates.

Step-by-step explanation:

The question is asking for the coordinates of the point that is 1/3 of the way from point A to point B. Unfortunately, the question does not provide specific information about the exact locations of points A and B. Hence, the correct answer cannot be determined without additional data on the coordinates of points A and B. To find a point that is a certain fraction along a line segment between two known points in a coordinate system, you would typically use the formula for determining a point P that is λ (lambda) of the way from point A (x1, y1) to point B (x2, y2):

P(x, y) = ((1 - λ)x1 + λx2, (1 - λ)y1 + λy2)

In this case, λ would be 1/3. Without the actual positions of A and B, option d) Insufficient information provided is the correct answer.

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