Question

Point A(7, 3) is translated to A'(16,-9). Which rule describes the translation?

Answer 1

A(7, 3) is translated to A'(16,-9)

7 + 9 = 16

3 - 12 = -9

Rule:

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

Hope it helps

Answer 2

`\boxed{A(x,y)\rightarrow A'(x+9,y-12)}`

Explanation:

We want to find the rule that translated the point A(7,3) to A'(16,-9).

Let the translation vector be
`\binom{a}{b}`

Then,

`\binom{7}{3}+\binom{a}{b}=\binom{16}{-9}`

This implies that;

`\binom{a}{b}=\binom{16}{-9}-\binom{7}{3}`

`\Rightarrow \binom{a}{b}=\binom{16-7}{-9-3}`

`\Rightarrow \binom{a}{b}=\binom{9}{-12}`

The translation rule is

`A(x,y)\rightarrow A'(x+9,y-12)`