Answer:
(x + 4)² + (y - 7)² = 20²
Step-by-step explanation:
Graphing form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-4, 7)
r is the radius = 20
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Plug in the givens
(x + 4)² + (y - 7)² = 20²
We will express second equation in first.
y = 3x + 2
after that we get:
3x + 2 = x^2 + 3x - 7
x^2 -9 = 0
x^2 = 9
x1 = 3
x2 = -3
y1 = 3*3+2 = 11
y2 = -3*3 + 2 = -7
we get pairs:
(3,11) and (-3,-7)
Answer is first option.
