50 points and brainliest!

write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Step-by-step explanation:

The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0

Substituting the three points we get the following equations,

2g +14f +c=-50

14g - 2f + c =-50

16g +12f + c = -100

Solving these equations we get,

g =-4, f = -3, c = 0

Hence general equation of circle is,

x² + y² - 8x - 6y  = 0