Answer: ( x + 4 )² + ( y - 7 )² = 3²
Step-by-step explanation:
Formula for the equation of a circle centre (a, b), radius r
= ( x - a )² + ( y - b )² = r²--------------------------------------------------------1
a = -4 and b = 7 while r = 3
Therefore substitute for a , b and r in the equation 1 above to get the equation of the circle.
( x - (-4 ) )² + ( y - 7 )² = 3²
open the brackets through direct or indirect methods gives
( x + 4 )² + ( y - 7 )² = 9
x² + 8x + 16 + y² - 14y + 49 = 9
x² + y² + 8x - 14y + 16 + 49 - 9 = 0
x² + y² + 8x - 14 y + 116 = 0
