Answer: (- 15, 20)
Step-by-step explanation:
In the format (x – h)² + (y – k) = r², the center of the circle is at point (h, k).
-> The negatives in the first equation, bolded and underlined, means we change the sign of positive to negative or negative to positive.
(x <u>-</u> h)² + (y <u>-</u> k) = r²
(x + 15)² + (y - 20)² = 100
(x <u>-</u> 15)² + (y <u>+</u> 20)² = 100
(x <u>- 15</u>)² + (y + <u>20</u>)² = 100
(- 15, 20)
We can also see this with graphing. See attached.
The center of the circle will be at point (- 15, 20).
