Question

If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its center point is

(-5, 7)
(5, -7)
(5, 7)

Answer 1

First option -> (-5, 7)

Explanation:

First, let's look at the basic equation of a circle:

(x-h)2 + (y-k)2 = r2

Second, the equation of a circle is originated from:

(x - -5)2 + (y - +7)2 = 36

(x+5)2 + (y-7)2 = 36

Third, since center radius or center point form is (h, k), therefore:

(h, k) = (-5, 7)

Hope it helps. Thanks!