Answer:
(x - 2)² + (y - 2)² = 4
Step-by-step explanation:
The circle is tangent to both axes, so the radius = x = y
Center is on 2x + 3y = 0, so 2x + 3x = 1-
x = 2 = y
center: (2, 2)
radius = 2
equation: (x - 2)² + (y - 2)² = 2²
(x - 2)² + (y - 2)² = 4