What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?

5

Step-by-step explanation:

A little trick: the imaginary part () in the coordinates of complex numbers act same as the y-coordinate in a rectangular plane.

So we want the distance between the coordinate points (4,2) and (7,-2).

How do we get the distance between 2 points? We use the distance formula.

Distance Formula =

Where  and  

Let's solve for distance:

Hence, the length of the segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is 5.