Answer:
(x - 3)² + (y + 1.5)² = 15.25
Step-by-step explanation:
Centre: midpoint of the diameter
(h,k) = (0+6)/2, (1-4)/2
= (3, -3/2)
Radius = ½(diameter)
Diameter = sqrt(6² + (-4-1)²)
sqrt(61)
Radius = sqrt(61)/2
Equation:
(x - h)² + (y - k)² = r²
(x - 3)² + (y + 1.5)² = 15.25
