Answer:
Step-by-step explanation:
center (-1, -2) , trough point ( 6, 4)
equation of the circle
r² = (x-h)²+(y-k)², where (h, k) are the coordinate of a circle so h=-1, k=-2
r² =(x+1)²+(y+2)², but (x, y ) are coordinates for any point on the circle so x=6 and y= 4
r² =(6+1)²+(4+2)²
r²= 7² +6²
r²= 85
so the equation is
(x+1)²+(y+2)²= 85
to find the points on the circle substitute in the equation x and y
(-10+1)²+(0+2)²= 85 ; 85=85 true
so the pint on the circle is (-10, 0)
