Consider two pairs of coordinates (x₁, y₁) and (x₂, y₂), the mid-point of these coordinates are [tex]( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} ) [/tex]
We have midpoint (-1, 7i) and one pair of coordinate (3, 8i)
The other pair of coordinate would be given by
[tex]( \frac{x_1+3}{2}= -1, \frac{y_1+8}{2} =7)[/tex]
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)
