Question

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

Answer 1

Answer:

The coordinates of point A is;

$A(-2,-4)$

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;

$A(-2,-4)$