Question

A line segment in the complex plane has endpoints –2–5 and 3 2. Find its midpoint. Write your answer in the form a b. Simplify all fractions.

Answer 1

To find the midpoint of a line segment in the complex plane, use the formula: Midpoint = (x1 + x2)/2 + ((y1 + y2)/2)i. The midpoint of the given line segment is 1/2 - (3/2)i.

Step-by-step explanation:

To find the midpoint of a line segment in the complex plane, we can use the formula:

Midpoint = (x1 + x2)/2 + ((y1 + y2)/2)i

In this case, the endpoints are (-2 - 5i) and (3 + 2i).

Using the formula, we get:

Midpoint = ((-2 + 3)/2) + ((-5 + 2)/2)i

Simplifying the fractions, we have:

Midpoint = (1/2) - (3/2)i

So the midpoint is 1/2 - (3/2)i.