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cos 2a = -3/5
Maka matriks transformasi :
(cos 2a... sin 2a) (x) = (x')
(sin 2a ... -cos 2a) (y) = (y')
( -3/5.... 4/5) (x) = (x')
(4/5.... 3/5) (y) = (y')
x = (3/5 x' - 4/5 x')
y = (-4/5 x' - 3/5 y')
jadi bayangan garis y + 1= 3x adalah :
(-4/5 x' - 3/5 y') + 1 = 3(3/5 x' - 4/5 y')
= -4 x' - 3y' + 5 = 9x' - 12y'
= -13x' + 9y' + 5 =0
= 13x - 9y - 5 = 0