Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
The center is the midpoint of the two coordinates of the diameter, hence:
[tex]C = \frac{B + A}{2}[/tex]
For the x-coordinate:
[tex]-3 = \frac{x + 0.5}{2}[/tex]
x + 0.5 = -6
x = -6.5
For the y-coordinate:
[tex]3 = \frac{y + 6}{2}[/tex]
y + 6 = 6
y = 0
More can be learned about the mid-point concept at https://brainly.com/question/10956693
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