Question

Find the coordinate of a point A, where AB is a diameter of the circle with center (-4,-4)
and B is the point with coordinate (6,8).
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Answer 1

Answer:

Step-by-step explanation:

given: B = (6,8)

center(O) = (-4, -4)

since we know that the center is equidistant and collinear with AB, we can confirm that O is the midpoint of AB

using mid-point formula, O(x) = [A(x) + B(x)]/2, we get

-4 = [A(x) + 6] / 2

-8 = A(x) + 6

A(x) = -8 -6 = -14

similarly, we can find the value of y, which is -16

Hence, the coordinates of A is (-14, -16)

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