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To find the coordinates of point D, we need to find a point that is 2/3 of the way from E to F.
First, we find the differences in the x and y coordinates between E and F:
Δx = 8 - 2 = 6
Δy = -4 - (-1) = -3
To find the 2/3 point of these differences, we multiply them by 2/3:
2/3 * 6 = 4
2/3 * -3 = -2
Next, we add these differences to the coordinates of E (2, -1):
x-coordinate of D = 2 + 4 = 6
y-coordinate of D = -1 + (-2) = -3
Therefore, the coordinates of point D are (6, -3).
Answer: B. (6,−3)