Triangle ABC is translated to triangle A'B'C' by the transformation (x, y)→(x+2,y−5) What will be the corrdinates of A'? A (4, -4) B (2, -5) C (0, 6) D (-2, 5)

Given that: Triangle ABC is translated to triangle A'B'C' by the transformation

The points are A(4, -4), B(2, -5), C(0, 6), D(-2, 5).

To find: Coordinates of A'.

The coordinates of A are (4,-4).

Using the given rule of transformation, we get

On simplification, we get

Therefore, the coordinates of point A' are (6,-9).

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18