Question

Alicia is writing the program for a video game.

For one part of the game, she uses the rule
(x,y)→(x−7,y+2)
to move points on the screen.

What output does the rule give when the input is
(−4,−6)
? Show your work.

What output does the rule give when the input is
(2,−9)
? Show your work.

Answer 1

(-11,-4) and (-5,-7)

Explanation:

the rule (x,y)→(x−7,y+2) means the x-value of the coordinate decreases by 7, and the y-value of the coordinate increases by two.

Apply the rule to the 1st question by plugging in the coordinates:

(x,y)→(x−7,y+2)

(−4,−6)→((-4)−7,(-6)+2)

(−4,−6)→(-11,-4)

Let's use the same process for the 2nd question:

(x,y)→(x−7,y+2)

(2,−9)→((2)−7,(-9)+2)

(2,−9)→(-5,-7)