
### Instruction: help me answer this question Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16., think step by step
### Assistant: The solution involves solving a system of equations using the given conditions and the general form of the equation of a circle (x – h)2 + (y – k)2 = r2. , The answer is x2 + y2 – 6x – 8y + 15 = 0
