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A segment in the complex plane has a midpoint at 3 – 2i. if one endpoint of the segment is at 7 + i, what is the other endpoint? –1 – 5i 5 – 0.5i 10 – i 11 + 4i

Sagot :

Lanuel

By applying the midpoint formula, the other endpoint is equal to (-1, -5).

How to determine the other endpoint?

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

(7 + x)/2 = 3

7 + x = 6

x = 6 - 7

x = -1.

Midpoint on y-coordinate is given by:

(1 + y)/2 = -2

1 + y = -4

y = -4 - 1

y = -5.

Therefore, the other endpoint is (-1, -5).

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