Question

Point A(7, 3) is translated to A prime (16, negative 9). Which rule describes the translation? (x, y) right-arrow (x minus 9, y minus 12) (x, y) right-arrow (x minus 9, y + 12) (x, y) right-arrow (x + 9, y + 12) (x, y) right-arrow (x + 9, y minus 12)

Answer 1

Option D:

(x, y) -> (x + 9, y minus 12)

Step-by-step explanation: Honestly all people want are the answers so I don't really care to write an explanation.

Answer 2

`(x,y) -----> (x+9,y-12)`

Explanation:

we know that

`A(7, 3) ----> A'(16,-9)`

The rule of the translation is equal to

`(x,y) -----> (x+a,y+b)`

Find the values of a and b

`(7,3) -----> (7+a,3+b)`

we have that

`7+a=16` ---->
`a=16-7=9`

`3+b=-9` ---->
`b=-9-3=-12`

substitute the values of a and b

`(x,y) -----> (x+9,y-12)`

That means----> The translation is 9 units right and 12 units down