15 points! A circle has a center (-5, -6) and the lowest point along the edge is (-5, -9)​ .

What is the equation of the circle in standard form?

(x+5)2+(y+6)2=9

(x+5)2+(y+6)2=36

(x+25)2+(y+36)2=36

(x+25)2+(y+36)2=9

(x+5)² + (y+6)² = 9

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center coordinates and r being the radius (half the diameter).

so, in our case here a = -5, b = -6

and r is the distance from the center to any point of the circle. that includes the lowest point asking the edge.

the distance of (-5,-6) to (-5,-9) is 3, as both points have the same x-value, and the only difference is in the y-value.

as we are talking about a distance, negative values don't make sense. so, we need the absolute value of -9 - -6 or then of -3, and that is 3.