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

Answer:

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

Step-by-step 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

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