Question #40432

what are the coordinates of the midpoint of a segment whose end point are (2,-3) and (-6,-3)?

Expert's answer

Question #40432 – Math – Analytical Geometry

What are the coordinates of the midpoint of a segment whose end point are (2,-3) and (-6,-3)?

Solution

Let A(2;3)A(2; -3) and B(6;3)B(-6; -3) be two points.

Coordinates of midpoint C of segment ABAB are


xC=xA+xB2=262=42=2,yC=yA+yB2=332=62=3.x_C = \frac{x_A + x_B}{2} = \frac{2 - 6}{2} = \frac{-4}{2} = -2, \quad y_C = \frac{y_A + y_B}{2} = \frac{-3 - 3}{2} = \frac{-6}{2} = -3.


Answer: (-2,-3)

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