A line segment in the complex plane has endpoints -6-7i and 3-i Find its midpoint. Write your answer in the form a+bi Simplify all fractions. square

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Answer 1

## Step 1: Formula for the Midpoint of a Line Segment in the Complex Plane### The midpoint of a line segment with endpoints

and

in the complex plane is given by the formula:

.## Step 2: Applying the Midpoint Formula### Given endpoints are

and

. Here,

,

, and

. Substituting these values into the midpoint formula:

.

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