This should be simple but is giving me fits. Given two points in field C X C (C is field of complex numbers), how do you determine the equation of the line? For example, two points are (2,5) and (i,10).
Or, just do it as you would in : y= mx+ b but now m, b, x, and y can be complex numbers.
Since (2, 5), x= 2 and y= 5 must satisfy the equation. 5= 2m+ b. Since (i, 10) is on the line, x= i and y= 10 must satisfy the equation. 10= im+ b.
subtracting the first equation from the first eliminates b and gives 5= (i- 2)m. Then . Now you can use either of those equations to solve for b.