Answer:
(x - 2)² + (y + 4)² = 29
Step-by-step explanation:
Standard form
(x - h)² + (y - k)² = r²
(h, k) is the center and ris the radius
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For center (2, -4)
(x - 2)² + (y + 4)² = r²
use the distance formula to find d² which is the same as r²
r² = d² = (x2 - x1)² + (y2 - y1)²
r² = (4 - 2)² + (1 - -4)²
r² = 2² + 5²
r² = 29
Now the equation becomes
(x - 2)² + (y + 4)² = 29
