Diketahui 5x+3y=15,tentukan persamaan bayangan garis jika di refleksikan terhadap: a. x=-3 b. y=2

refleksi
x = h (2h - x, y)
y = h (x, 2h - y)
5x + 3y = 15

a) x = -3 (-6 - x, y)
x' = -6 - x maka x = -6 - x'
y' = y
sehingga diperoleh
5(-6 -x') + 3(y') = 15
-30 - 5x' + 3y' = 15
5x - 3y = -45

b) y = 2 (x, 4 - y)
x' = x
y' = 4 - y maka y = -y' + 4
sehingga diperoleh
5(x') + 3(-y' + 4) = 15
5x' - 3y' + 12 = 15
5x - 3y = 3

Refleksi Garis thd Garis

5x + 3y = 15

• x = -3
x' = 2(-3) - x = -6 - x
x = -6 - x'

y' = y

Bayangan :
5x + 3y = 15
5(-6 - x') + 3y' = 15
-30 - 5x + 3y = 15
-5x + 3y = 45 ✔

• y = 2
x' = x

y' = 2(2) - y = 4 - y
y = 4 - y'

Bayangan :
5x + 3y = 15
5x' + 3(4 - y') = 15
5x - 3y = 3 ✔