Answer:
(x + 3)² + (y - 5)² = 20
Explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
so we have (x - -3)² + (y - 5)² = r²
(x + 3)² + (y - 5)² = r²
r = the line from (1,7) to (-3, 5).
length of this is √[(-3 - 1)² + (5 - 7)²]
= √(16 + 4)
= √20
so r² = (√20)² = 20.
equation of circle is (x + 3)² + (y - 5)² = 20