Find the equation of the circle. With center at (-3, 1) and point on the circle= (5, -3).

Answer:
(x + 3)² + (y - 1)² = 80
Step-by-step explanation:
Circle equation: (x - h)² + (y - k)² = r²
We are given h and k, so we just plug that in:
(x + 3)² + (y - 1)² = r²
To find r, we need to use distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex] between the center of the circle and the point on the circle. We should get √80 as r. We plug that in to get our answer:
(x + 3)² + (y - 1)² = 80