Answer:
<em>x² + y² + 8x - 8y + 7 = 0</em>
Step-by-step explanation:
Formula: (x - a)² + (y - b)²= r²
where,
a = -4
b = 4
Substitute a and b
( x - (-4))² + (y - 4)² = 5²
(x + 4)² + (y - 4)² = 25
Open Bracket( )
(x + 4) (x + 4) = x² + 4x + 4x + 16
(y - 4) (y - 4) = y² - 4y - 4y + 16
x² + 4x + 4x + 16 + y² - 4y - 4y + 16= 25
Collect Like Terms
x² + y² + 8x - 8y + 16 + 16 - 25 = 0
x² + y² + 8x - 8y + 7 = 0
Therefore,
x² + y² + 8x - 8y + 7 = 0
Is The Equation Of The Given Circle.
