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# Complex Plane

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In the complex plane, the line segment with end-points -11 + 3i and 3 - 7i is plotted in the complex plane. Find the complex number corresponding to the mid-point of this line segment.

Apr 4, 2021

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Writing these complex numbers as points, we have $(-11, 3)$ and $(3, -7)$. The midpoint is given by the average of the x- and y-coordinates, so we have $(\frac{(-11)+(3)}{2}, \frac{(3)+(-7)}{2})$. Simplifying gives the point $(-4, -2)$. The complex number corresponding to that point is $\boxed{-4-2i}$

Apr 4, 2021
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Thanks!

Guest Apr 4, 2021
#3
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No problem! Was my answer correct?

RiemannIntegralzzz  Apr 4, 2021
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Yep! Thanks again! Great solution, I forgot about the midpoint formula

Guest Apr 4, 2021