The center of a circle is at (−5, 2) and its radius is 7. what is the equation of the circle?

(X+5)^2 + (Y-2)^2 =49

Step-by-step explanation:

Equation of the circle

(X-a)^2+(Y-b)^2= r^2

Center=(-5 ; 2) , so : a= -5 y b=2

y r=7

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c