2. alicia is writing the program for a video game. for one part of the game she uses the rule (x, y) -> (x-3,y+4) to move points on the screen. a. what output does the rule give when the input is (-6,0)? b. what output does the rule give when the input is (3,-4)? show work.

Given rule (x,y) ->(x-3,y+4) to move points on the screen.

a) We are given first input (-6,0).

(-6,0) represents x=-6 and y=0.

Plugging values of x and y in given rule (x,y) ->(x-3,y+4), we get

(-6,0) --> (-6-3, 0+4). It would give us (-9,4)

So, first output is (-9,4).

b) We are given second input (3,-4).

(-6,0) represents x=3 and y=-4.

Plugging values of x and y in given rule (x,y) ->(x-3,y+4), we get

(-6,0) --> (3-3, -4+4). It would give us (0,0).

So, second output is (0,0).