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

User Marq
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1 Answer

6 votes

Answer:

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)

User Niesha
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