Slope = (y2 - y1)/(x2 - x1) = (1 - 3)/(-2 - (-5)) = -2/(-2 + 5) = -2/3
For perpendicular lines, m2 = -1/m1 = -1/(3/8) = -8/3
A line passing through point (-4, 0) and parallel to the y-axis is x = -4
![diameter=\sqrt{(7-1)^2+(5+3)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10](https://tex.z-dn.net/?f=diameter%3D%5Csqrt%7B%287-1%29%5E2%2B%285%2B3%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B8%5E2%7D%3D%5Csqrt%7B36%2B64%7D%3D%5Csqrt%7B100%7D%3D10)
radius = diameter/2 = 10/2 = 5
center of circle = midpoint of diameter = ((-3 + 5)/2, (1 + 7)/2) = (2/2, 8/2) = (1, 4)
Required equation is (x - 1)^2 + (y - 4)^2 = 5^2
(x - 1)^2 + (y - 4)^2 = 25