A segment in the complex plane has a midpoint at −1 + 7i. If one endpoint of the segment is at
2 answers:
Consider two pairs of coordinates (x₁, y₁) and (x₂, y₂), the mid-point of these coordinates are 
We have midpoint (-1, 7i) and one pair of coordinate (3, 8i)
The other pair of coordinate would be given by
The value of x is (2 × -1) - 3 = -2 - 3 = -5
The value of y is (2 × 7) - 8 = 14 - 8 = 6
The value of x represents the real part
The value of y represents the imaginary part
The other coordinate is (-5, 6i)
We have midpoint (-1, 7i) and one pair of coordinate (3, 8i)
The other pair of coordinate would be given by
The value of x is (2 × -1) - 3 = -2 - 3 = -5
The value of y is (2 × 7) - 8 = 14 - 8 = 6
The value of x represents the real part
The value of y represents the imaginary part
The other coordinate is (-5, 6i)
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