The equation the fraction with numerator open paren x minus 7 close paren squared and denominator 64 plus the fraction with numerator open paren y plus 2 close paren squared and denominator 9 is equal to 1 represents an ellipse. Which points are the vertices of the ellipse?

The ellipse is centered at (7, −2), and its larger denominator is 64 under the x-term, so the major axis is horizontal. The horizontal distance from the center to each vertex is √64 = 8. Moving 8 units left and right gives (−1, −2) and (15, −2), so choice A is correct.

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