Answer: (-4, 4)
Step-by-step explanation:
Given: x² + 4x + y² - 6y = -8
Complete the square: x² + 4x + 4 + y² - 6y + 9 = -8 + 4 + 9
→ (x + 2)² + (y - 3)² = 5
Center: (-2, 3)
Since one end point of the circle is (0, 2) and the other end point must pass through endpoint (0, 2) and the center (-2, 3), find the slope ...
m = down 1 and right 2
The other endpoint will be: UP 1 and LEFT 2 from the center
→ (-2 - 2, 3 + 1) = (-4, 4)
