The coordinates of point a are (2,1) and the coordinates of point b are (-4,9). what are the coordinates of the midpoint of segment ab (answers are listed above)

(- 1, 5 )

Step-by-step explanation:

Using the midpoint formula

For 2 points (x₁, y₁ ) and (x₂, y₂ ) the midpoint is calculated as

[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

with (x₁, y₁ ) = A(2, 1) and (x₂, y₂ ) = (- 4, 9 ), then

midpoint = [0.5(2 - 4), 0.5(1 + 9) ] = [0.5(- 2) , 0.5(10) ] = (- 1, 5 )

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step-by-step explanation: