Question

the translation vector is u= <7,-3>. the image of point A is A '(5,-7) Find the coordinates of A.

Answer 1

The coordinates of point A is;

`A(-2,-4)`

Step-by-step explanation:

Given that the coordinates of the image of point A is;

`A^(\prime)(5,-7)`

And the translation vector is;

`u=<7,-3>`

which gives the rule;

`A(x,y)\rightarrow A^(\prime)(x+7,y-3)=A^(\prime)(5,-7)_{}`

So, we have;

`\begin{gathered} x+7=5 \\ x=5-7 \\ x=-2 \\ y-3=-7 \\ y=-7+3 \\ y=-4 \end{gathered}`

Therefore, the coordinates of point A is;

`A(-2,-4)`