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x' - a = k (x-a)
y' - b = k (y -b)
.
P(a,b)=(-1, 3)
k = -2
x' + 1 = -2(x +1) -->x' = -2x - 2+1
x' = -2x - 1 --> 2x = -x' - 1
x =- 1/2 x' - 1/2
y' - 3 = -2(y - 3)
y' = -2y + 6 + 3
y' = -2y +9
2y = 9 - y'
y = 9/2 - y'/2
.
x² + y² + 4x - 5 = 0
(-1/2x ' - 1/2)² + y² + 4(-1/2x' - 1/2) - 5 = 0
1/4 x² + 1/2 x + 1/4 + y² - 2x' - 2 - 5 = 0
1/4x² + y² -3/2x - 27/4 = 0 kalikan 4 semua
x² + 4y² - 6x - 27 = 0