Answer:
( x + 5 )² + ( y - 8 )² = 25
Step-by-step explanation:
Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²
Where r = radius and Center is located at ( h , k )
We are given that the center is at ( -5 , 8 )
Thus, h = -5 and k = 8
We are also given that the radius = 5
Thus, r = 5
Now we just plug all of the given values into the standard form equation
( x - (-5))² + ( y - 8 )² = 5²
*simplify*
in - ( - 5 ) the two negative sign cancel out and it turns into + 5
5² = 25
Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25
