Question

the image of the point (1,9) under translation is (4,10).Find the coordinates of images of the point (-9,-2) under the same translation

Answer 1

To solve the exercise, the first thing you can do is graph the given points, like this

you can see that point A has the transformation

`\begin{gathered} A(1,9)\rightarrow(4,10)=(1+3,9,1) \\ \text{ That is} \\ (x,y)\rightarrow(x+3,y+1) \end{gathered}`

Therefore, the coordinates of the images of the point (-9, -2) under the same translation will be (-6,-1)

`C(-9,-2)\rightarrow(-9+3,-2+1)=(-6,-1)`