Jika garis 3x-2y=6 ditraslasikan oleh T([3],[-4]) , maka bayangan garis tersebut: adalah... A. 3x-2y=6 C. 3x-2y=-11 B. 3x-2y=3 D. 3x-2y=23

3x - 2y = 17

In this question, you have been given an equation for a straight line in 2-Dimensional space, **3x - 2y = 6**. You've also been told that this line has been *translated* by **T(3, -4)**. When a functional graphic is translated, it does not change the shape or tilt but rather the position in the coordinate plane.For the linear equation **ax + by = c**, when detects a translation **T(h, k)**. The new line's equation after this translation will be: **ax + by = c + (ah + bk)**. In our question:- a = 3- b = -2- h = 3- k = -4- c = 6Using these into the formula gives us the new equation after translation as: 3x - 2y = 6 + (3*3 - 2*-4) which simplifies to **3x - 2y = 17**