Question

Sebuah garis 2x + 3y = 6, jika ditranslasi dengan faktor translasi (2, 3) akan mempunyai bayangan...

Answer 1

Verified answer

Data soal
garis 2x + 3y = 6
Translasi (T) = (2, 3)
cara 1
A + T = A'
(x, y) + (2, 3) = (x + 2, y + 3)
x' = x + 2 »» x = x' - 2
y' = y + 3 »» y = y' - 3
maka persamaan bayangannya diperoleh
2x + 3y = 6
2 (x'- 2) + (3 (y' - 3) = 6
2x' - 4 + 3y' - 9 = 6
2x' + 3y' = 6 + 13
2x + 3y = 19

cara 2
translasi (p, q)
persamaan garis ax + by = c + a(p) + b(q)
2x + 3y = 6 + 2(2) + 3(3)
2x + 3y = 6 + 4 + 9
2x + 3y = 19