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In the error analysis question, Devin said that AD and ED for A(-2, 0), B(2, 3), C(1, -1), and D(5, -4) are parallel. Explain and correct Devin's error.

A) Devin's error is correct.
B) Devin's error is due to incorrect slope calculations.
C) Devin's error is due to incorrect point placement.
D) Devin's error cannot be corrected.

User Rvirding
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1 Answer

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Final answer:

Devin's assertion that lines AD and ED are parallel cannot be evaluated or corrected because the coordinates for point E are not given. To address such an error, one would need to calculate the slopes of both lines and compare them; however, without the coordinates for point E, it is not possible to determine the slope for line ED.

Step-by-step explanation:

Devin made an error in claiming that lines AD and ED are parallel when analyzing the coordinates of points A(-2, 0), B(2, 3), C(1, -1), and D(5, -4). To correct Devin's mistake, we need to calculate the slopes of the lines AD and ED and compare them. The slope of a line is found by using the formula (Δy/Δx) which represents the change in y over the change in x between two points.

For line AD, the change in y (Δy) between points A and D is -4 - 0 = -4 and the change in x (Δx) is 5 - (-2) = 7, so the slope of AD is -4/7. Similarly, for line ED, the change in y between points E and D is unknown because point E is not defined in the provided coordinates. Therefore, we cannot determine if lines AD and ED are parallel without the coordinates for point E. The statement is incorrect, and Devin's error is due to incorrect assumption without the necessary information.

Option B would be the most suitable choice if we had the coordinates for point E and Devin's calculation of slope were incorrect. Option C is plausible if Devin incorrectly placed or read the coordinates for the points. However, without coordinates for point E, we cannot determine if option B or C apply. Option D states that Devin's error cannot be corrected, which is not true because with the correct information, the error in the slope calculations or point placement can be corrected.

User Sgtdck
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