Part I: The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)
Part II: The midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)
Calculating the midpoint of a line segment
From the question, we are to determine the formula for calculating the midpoint of a segment
The midpoint of a segment can be determined by using the formula,
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)
II. To determine the midpoint of the segment with endpoints (-2, -1) and (0, 9)
x₁ = -2
y₁ = -1
x₂ = 0
y₂ = 9
Putting the parameters into the formula,
Midpoint of the segment = ((-2 + 0)/2, (-1 + 9)/2)
Midpoint of the segment = (-2/2, 8/2)
Midpoint of the segment = (-1, 4)
Hence, the midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)
Learn more on Midpoint of a segment here: https://brainly.com/question/896396
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